Consider the graph of the quadratic function. which interval on the x-axis has a negative rate of change?
answers:
a. –2 to –1b. –1.5 to 0c. 0 to 1d. 1 to 2.5

The average rate of change is defined as:

For AVR to be negative, it must comply with:

Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.

Among the options given, this interval is:

1 to 2.5

An interval on the x-axis that has a negative rate of change is:

D. 1 to 2.5

The rate of change of a graph is positive when the graph is increasing from left to right and it is negative when it is decreasing from left to right

Reasons:

Rate of change is given by the equation;

Which gives;

In the range where the graph is decreasing from left to right, we have in the x-axis interval, 1 to 2.5, the points (1, 3), and (2.5, -1)

Therefore;

Therefore, the rate of change of the quadratic function in the x-axis interval 1 to 2.5 is , which is negative;

Learn more about rate of change of a quadratic function here:

link

link

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation: