Which section of the function is constant?

a. A
b. B
c. C
d. D

This portion of the graph is completely flat, and has a slope of 0. The slope is the rate of change. Any horizontal line has a slope of 0 (we can use the slope formula to prove this). The term 'constant" means "it does not change".

In contrast, sections A, B, and D are all increasing sections because they go uphill as we move from left to right. The slopes of each line segment are positive.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!