Question

use technology to find points and then graph the function $y = 2sqrt3{x} + 5$, following the instructions below. plot at least five points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Choose x-values

Let's pick x-values: -8, -1, 0, 1, 8. These are perfect cubes or simple to calculate the cube root.

Step2: Calculate y for x = -8

For \( x = -8 \), \( \sqrt[3]{-8} = -2 \). Then \( y = 2(-2) + 5 = -4 + 5 = 1 \). So the point is (-8, 1).

Step3: Calculate y for x = -1

For \( x = -1 \), \( \sqrt[3]{-1} = -1 \). Then \( y = 2(-1) + 5 = -2 + 5 = 3 \). So the point is (-1, 3).

Step4: Calculate y for x = 0

For \( x = 0 \), \( \sqrt[3]{0} = 0 \). Then \( y = 2(0) + 5 = 0 + 5 = 5 \). So the point is (0, 5).

Step5: Calculate y for x = 1

For \( x = 1 \), \( \sqrt[3]{1} = 1 \). Then \( y = 2(1) + 5 = 2 + 5 = 7 \). So the point is (1, 7).

Step6: Calculate y for x = 8

For \( x = 8 \), \( \sqrt[3]{8} = 2 \). Then \( y = 2(2) + 5 = 4 + 5 = 9 \). So the point is (8, 9).

Now you can plot these points: (-8, 1), (-1, 3), (0, 5), (1, 7), (8, 9) on the graph. After plotting at least five points, click "done plotting points".

Answer:

The points to plot are (-8, 1), (-1, 3), (0, 5), (1, 7), (8, 9) (and you can plot them on the given graph and then click "done plotting points").