graph the function.\n\n$y = \\frac{3}{4}x^{3}$\n\nplot five points on the graph of the function: one point…

graph the function.\n\n$y = \\frac{3}{4}x^{3}$\n\nplot five points on the graph of the function: one point with $x = 0$, two points with negative $x$-values, and two points with positive $x$-values. then click on the graph - a - function button.

graph the function.\n\n$y = \\frac{3}{4}x^{3}$\n\nplot five points on the graph of the function: one point with $x = 0$, two points with negative $x$-values, and two points with positive $x$-values. then click on the graph - a - function button.

Answer

Explanation:

Step1: Find the point when x = 0

Substitute (x = 0) into (y=\frac{3}{4}x^{3}). [y=\frac{3}{4}(0)^{3}=0] The point is ((0,0)).

Step2: Find points with negative x - values

Let (x=-2), then (y=\frac{3}{4}(-2)^{3}=\frac{3}{4}\times(-8)= - 6). The point is ((-2,-6)). Let (x = - 4), then (y=\frac{3}{4}(-4)^{3}=\frac{3}{4}\times(-64)=-48). The point is ((-4,-48)).

Step3: Find points with positive x - values

Let (x = 2), then (y=\frac{3}{4}(2)^{3}=\frac{3}{4}\times8 = 6). The point is ((2,6)). Let (x = 4), then (y=\frac{3}{4}(4)^{3}=\frac{3}{4}\times64 = 48). The point is ((4,48)).

Answer:

The five points are ((0,0)), ((-2,-6)), ((-4,-48)), ((2,6)), ((4,48))