Common Core: High School - Functions : Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b
Study concepts, example questions & explanations for Common Core: High School - Functions
All Common Core: High School - Functions Resources
Example Questions
Example Question #91 : High School: Functions
Graph the following function.
This question tests one's ability to graph a square root function.
For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" 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: Make a table of 
The values in the table are found by substituting in the x values into the function as follows.
Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.
Recall that a square root function cannot have negative values under the radical therefore, no x values greater than zero will be in the domain.
Example Question #92 : High School: Functions
Graph the following function.
This question tests one's ability to graph a square root function.
For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" 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: Make a table of
The values in the table are found by substituting in the x values into the function as follows.
Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.
Recall that a square root function cannot have negative values under the radical therefore, no x values greater than zero will be in the domain.
All Common Core: High School - Functions Resources
