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
Answer:
An interval on the x-axis that has a negative rate of change is:
D. 1 to 2.5
Step-by-step explanation:
given points,
(-2, -1) and (4,3)
we know,
slope of line = y_2 - y_1/ x_2 - x_1
x_1 and y_1 = -2 , -1
x_2 and y_2 = 4 , 3
according to the formula
3 - (-1)/4 - (-2)
→ 3 + 1/4 + 2
→ 4/6
→ 2/3
or (2,3)
therefore, slope of the given line is (2,3).
Hope this answer helps you dear!
The expression is Undefined for x=0, assuming you intend 1/(-8x).
x=0 is "nonpermissible"
7 divided by 1 is 7 so you would do long division