Question

consider the following function.
u(x)=-\frac{10}{3}|x|
step 2 of 2: find two points on the graph of this function, other than the origin, that fit within the given (-10,10) by (-10,10) grid. express each coordinate as an integer or simplified fraction.

Explanation:

Step1: Choose an x - value

Let's choose \(x = 3\).

Step2: Calculate the corresponding y - value

Substitute \(x = 3\) into \(u(x)=-\frac{10}{3}|x|\). Since \(|3| = 3\), then \(u(3)=-\frac{10}{3}\times3=- 10\). So one point is \((3,-10)\).

Step3: Choose another x - value

Let's choose \(x=-3\).

Step4: Calculate the corresponding y - value

Substitute \(x = - 3\) into \(u(x)=-\frac{10}{3}|x|\). Since \(|-3| = 3\), then \(u(-3)=-\frac{10}{3}\times3=-10\). So another point is \((-3,-10)\).

Answer:

\((3,-10),(-3,-10)\)