Question

What is the effect on the graph of a function f(x) =|x| when f(x) is changed tom2/3f(x).

Answer 1

We are given the following function:

`f(x)=\lvert x\rvert`

This is an absolute value function. The graph of this function is the following:

Where we change the function to:

`f(x)=(2)/(3)\lvert x\rvert`

When the absolute value function is multiplied by a number smaller than one its graphs "opens more". Therefore, the new graph should look as follows: