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:

$f(x)=\frac{2}{3}\lvert x\rvert$

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: