Chapter 3.5, Problem 3CYU

To determine

The transformation in each function related to the graph for $g\left(x\right)=7x$ .

Explanation of Solution

Given:

The given function is $f\left(x\right)=x$ .

Transformed function is $g\left(x\right)=7x$ .

Calculation:

Standard equation of slope intercept form is expressed as follows:

  $y=mx+c$

Here, m is slope and c stands for constant.

Write the given function in the standard slope as function is linear intercept form as follows:

  $y=\left(1\right)x+0$

Here, constant is 0 and slope is 1.

Write the transformed function in the standard slope as function is linear intercept form as follows:

  $y=7x+0$

Here, constant is 0 and slope is 7.

Thus, the function $g\left(x\right)=7x$ has 7 times slope as of function $f\left(x\right)=x$ in graph which is shown below: