Question

consider the following function. h(x) = \frac{5}{4}|x| step 1 of 2: identify the general shape of the graph of this function.

Explanation:

Step1: Recall absolute - value function properties

The general form of an absolute - value function is $y = a|x|$, where $a$ is a non - zero real number. When $a>0$, the graph of $y = a|x|$ is a V - shaped graph. In the given function $h(x)=\frac{5}{4}|x|$, since $\frac{5}{4}>0$.

Answer:

V - shaped