To graph: The function f ( x ) = ( x − 1 ) 3 + 2 , 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 − 1 ) 3 + 2 , 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 , 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 45AYU
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 , replace by from each on the graph of , that it is shifted right 1 unit.
replace by ; Horizontal shift right 1 unit.
Step 3: To obtain the graph of , add 2 from each on the graph of , that it is shifted up 2 units.
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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