Respuesta :
The rate of change for the interval between –6 and –3 on the x-axis is -2.
Given that
On a coordinate plane, a parabola opens up.
Solid circles appear on the parabola at (-6, 6), (-4. 5, 2. 25), (-3, 0), (-1. 5, -0. 75), (0, 0), (1,5, 2. 25), and (3, 6).
We have to determine
Which is the rate of change for the interval between –6 and –3 on the x-axis?
According to the question
On a coordinate plane, a parabola opens up.
Solid circles appear on the parabola at (-6, 6), (-4. 5, 2. 25), (-3, 0), (-1. 5, -0. 75), (0, 0), (1,5, 2. 25), and (3, 6).
The rate of change for the interval between x = -6 and x = -3 is simply asking you for the slope of the line that connects these 2 coordinates.
Then,
The rate of change for the interval between –6 and –3 on the x-axis is,
[tex]\rm Rate \ of \ change = \dfrac{y_2-y_1}{x_2-x_1}\\ \\ Rate \ of \ change = \dfrac{-6-0}{-3-(-6)}\\ \\ Rate \ of \ change =\dfrac{-6}{3}\\ \\ Rate \ of \ change =-2[/tex]
Hence, the rate of change for the interval between –6 and –3 on the x-axis is -2.
To know more about Parabola click the link given below.
https://brainly.com/question/16549411
