Question

Help please URGENT

For each question order the cards from least to greatest. If the feature is equal to two or more functions, place them next to each other.Average rate of change on the interval [0,4] ( put cards in order from least to greatest based on Average rate of change on the interval [0,4] )

Answer 1

Average rate of change on the interval [0, 4] is the ratio of y-value change to x-value change on the same interval.

Note:

• Used function equations based on your previous questions in order not to repeat same work for c(x), e(x). And its easy to show that h(x) = 0.5ˣ

A. [a(4) - a(0)] / (4 - 0) = (-2(4) + 3 + 2*0 - 3) / 4 = -8/4 = -2

B. [b(4) - b(0)]/4 = (20 - 8)/4 = 12/4 = 3

C. [c(4) - c(0)] / 4 = (4*1/2 - 0*0) / 4 = 2/4 = 1/2

D. [d(4) - d(0)] / 4 = (4² - 0²)/4 = 16/4 = 4

E. [e(4) - e(0)]/4 = [(-2)(4) - (-2)(0)]/4 = -8/4 = -2

F. [f(4) - f(0)]/4 = (-5 - 3)/4 = -8/4 = -2

G. [g(4) - g(0)]/4 = (2*3⁴ - 2*3⁰)/4 = (162 - 2)/4 = 160/4 = 40

H. [h(4) - h(0)]/4 = (0.5⁴ - 0.5⁰)/4 = (1/16 - 1) /4 =( -15/16) / 4 = - 15/64

Required order is:

• A, E, F >> H >> C >> B >> D >> G