To graph: The function f ( x ) = x 3 + 1 , using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example, y = x 2 ) and show all stages. Be sure to show at least three key points. Find the domain and the range of each function.
To graph: The function f ( x ) = x 3 + 1 , using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example, y = x 2 ) and show all stages. Be sure to show at least three key points. Find the domain and the range of each function.
Solution Summary: The author explains how to graph the function f (x) = x 3 + 1 using the techniques of shifting, compressing, stretching, and/or reflecting.
To graph: The function , using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example, ) and show all stages. Be sure to show at least three key points. Find the domain and the range of each function.
Expert Solution & Answer
Answer to Problem 41AYU
Domain of the function is .
Range of the function is .
Explanation of Solution
Given:
Graph:
Now use the following steps to obtain the graph of .
Step 1: The function is the cube function.
cube function
Step 2: To obtain the graph of , add 1 from each on the graph of , that it is shifted up 1 units.
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