which statement is true?
a the right function grows approximately 21 times faster than the left function over the interval 4 < x < 5.
b the right function grows approximately 21 times slower than the left function over the interval 4 < x < 5.
c the right function grows approximately 6 times faster than the left function over the interval 2 < x < 3.
d the right function grows approximately 2.5 times slower than the left function over the interval 2 < x < 3.

Option A.

Step-by-step explanation:

For option A.

Increase of left function between 4<x<5 is (100 - 64) = 36

Increase of right function between 4<5<5 is (1024 - 256) = 768

Ratio of right : left = 768/36 = 21.33

So right function grows approximately 21 times more than left.

Therefore option A is the answer.

For option B.

Right function is growing fast.

For option C.

Increase in left function between 2<x<3 is (36 - 16) = 20

Increase in right function between 2<x<3 is (64 - 16) = 48

Ration of right : left = 48/20 = 2.4

Therefore option is not true.

For option D.

Right function is increasing so option D is not true.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50