Question

use technology to find points and then graph the function y = |x| + 2, following the instructions below. done plotting points plot at least five points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Choose x - values

Let's choose \(x=- 3,-2,-1,0,1\).

Step2: Calculate y - values for \(x = - 3\)

When \(x=-3\), \(y = |-3|+2=3 + 2=5\). The point is \((-3,5)\).

Step3: Calculate y - values for \(x=-2\)

When \(x = - 2\), \(y=|-2|+2=2 + 2=4\). The point is \((-2,4)\).

Step4: Calculate y - values for \(x=-1\)

When \(x=-1\), \(y=|-1|+2=1 + 2=3\). The point is \((-1,3)\).

Step5: Calculate y - values for \(x = 0\)

When \(x = 0\), \(y=|0|+2=0 + 2=2\). The point is \((0,2)\).

Step6: Calculate y - values for \(x = 1\)

When \(x = 1\), \(y=|1|+2=1+2=3\). The point is \((1,3)\).

Answer:

The points are \((-3,5),(-2,4),(-1,3),(0,2),(1,3)\)