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Chapter 2: Q. 20 (page 113)

In Problems 19-26,write the function whose graph is the graph of y=x3but is:

Shifted to the left 4units

Short Answer

Expert verified

The function isy=(x+4)3.

Step by step solution

01

Step 1. Given Information 

It is given that the function whose graph is the graph of y=x3but it is shifted to the left by4 units.

02

Step 2. Stating the function of the graph 

If the argument xof a function f is replaced by x+h,h>0,the graph of the new function y=f(x+h) is the graph of fshifted horizontally left hunits.

Since the graph is shifted to the left by 4units, the function of the graph isy=(x+4)3.

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Determine whether each relation represents a function. For each function, state the domain and range.

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