Common Core: High School - Functions : Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Study concepts, example questions & explanations for Common Core: High School - Functions

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All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #11 : Graph Exponential, Logarithmic, And Trigonometric Functions: Ccss.Math.Content.Hsf If.C.7e

Graph the function.

Possible Answers:

Screen shot 2016 01 13 at 1.37.23 pm

Question11

Question6

Question10

Question9

Correct answer:

Question11

Explanation:

This question is testing one's ability to graph exponential functions.

For the purpose of Common Core Standards, "graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude." falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

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 -intercept.

Recall that  is just a constant,

and any constant raised to zero equals one.

Since the function is 

Therefore the -intercept occurs at the point 

Note that this vertical shift moves the horizontal asymptote up two from zero to two.

Step 2: Graph the function using technology and plot the -intercept. 

Question11

Example Question #12 : Graph Exponential, Logarithmic, And Trigonometric Functions: Ccss.Math.Content.Hsf If.C.7e

Graph the function.

Possible Answers:

Question3

Question10

Question12

Question9

Question11

Correct answer:

Question12

Explanation:

 

This question is testing one's ability to graph exponential functions.

For the purpose of Common Core Standards, "graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude." falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

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 -intercept.

Recall that  is just a constant,

and any constant raised to zero equals one.

Since the function is 

Therefore the -intercept occurs at the point 

Note that this vertical shift moves the horizontal asymptote up one from zero to one.

Step 2: Graph the function using technology and plot the -intercept. 

Question12

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All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept
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