Question

consider the following function. $u(x)=-\frac{10}{3}|x|$. 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 is a "V" shape opening upwards, and when $a < 0$, the graph is an inverted "V" shape opening downwards.

Step2: Analyze the given function

In the function $u(x)=-\frac{10}{3}|x|$, $a =-\frac{10}{3}<0$.

Answer:

An inverted "V" shape opening downwards.