All Common Core: High School - Functions Resources
Example Questions
Example Question #4 : Write, Model, And Translate Arithmetic And Geometric Sequences Recursively And Explicitly: Ccss.Math.Content.Hsf Bf.A.2
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Example Question #5 : Write, Model, And Translate Arithmetic And Geometric Sequences Recursively And Explicitly: Ccss.Math.Content.Hsf Bf.A.2
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Example Question #6 : Write, Model, And Translate Arithmetic And Geometric Sequences Recursively And Explicitly: Ccss.Math.Content.Hsf Bf.A.2
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Example Question #5 : Write, Model, And Translate Arithmetic And Geometric Sequences Recursively And Explicitly: Ccss.Math.Content.Hsf Bf.A.2
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Example Question #41 : Building Functions
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Example Question #42 : Building Functions
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Example Question #211 : High School: Functions
Given the function identify the graphically effect creates.
moves the original function up two units
moves the original function left two units
moves the original function down two units
moves the original function right two units
moves the original function down two units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a -intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a -intercept at negative two.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect creates is a vertical shift down of two units.
Step 4: Answer the question.
In other words, moves the original function down two units.
Example Question #41 : Building Functions
Given the function identify the graphically effect creates.
moves the original function to the left three units
moves the original function to the right three units
moves the original function up three units
moves the original function down three units
moves the original function up three units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a -intercept at zero.
Step 2: Use technology to graph the new function .
The function in the graph above has a -intercept at three.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect creates is a vertical shift upwards of three units.
Step 4: Answer the question.
In other words, moves the original function up three units.
Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect creates.
moves the original function down four units
moves the original function to the right four units
moves the original function up four units
moves the original function to the left four units
moves the original function up four units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a -intercept at zero.
Step 2: Use technology to graph the new function .
The function in the graph above has a -intercept at four.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect creates is a vertical shift upwards of four units.
Step 4: Answer the question.
In other words, moves the original function up four units.
Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect creates.
moves the original function up five units
moves the original function left five units
moves the original function down five units
moves the original function right five units
moves the original function down five units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a -intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a -intercept at negative five.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect creates is a vertical shift down of five units.
Step 4: Answer the question.
In other words, moves the original function down five units.