Question

consider the following function.

h(x)=\frac{5}{4}|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 \(x = 4\). Since \(h(x)=\frac{5}{4}|x|\), when \(x = 4\), \(|x|=4\).

Step2: Calculate the corresponding y - value

Substitute \(x = 4\) into the function \(h(x)\): \(h(4)=\frac{5}{4}\times4 = 5\). So one point is \((4,5)\).

Step3: Choose another x - value

Let \(x=-4\). Since \(|x| = 4\) when \(x=-4\).

Step4: Calculate the corresponding y - value

Substitute \(x=-4\) into the function \(h(x)\): \(h(-4)=\frac{5}{4}\times4 = 5\). So another point is \((-4,5)\).

Answer:

\((4,5),(-4,5)\)