Question

consider the following function. (g(x)=-\frac{5}{2}|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 \(x = 2\).

Step2: Calculate the corresponding y - value

Substitute \(x = 2\) into \(g(x)=-\frac{5}{2}|x|\). Since \(|2| = 2\), then \(g(2)=-\frac{5}{2}\times2=- 5\). So one point is \((2,-5)\).

Step3: Choose another x - value

Let \(x=-2\).

Step4: Calculate the corresponding y - value

Substitute \(x = - 2\) into \(g(x)=-\frac{5}{2}|x|\). Since \(|-2| = 2\), then \(g(-2)=-\frac{5}{2}\times2=-5\). So another point is \((-2,-5)\).

Answer:

\((2,-5),(-2,-5)\)