Question

What is the average rate of change between x = 7 and x = 13 in the function below?
x2 ; x < 4
f(x) = (x+1)2 ; 4< x < 12
2x2 ; x > 12


A. 45 2/3

B. 48 1/6

C. 17 1/2

D. 73 5/6

Answer 1

its the slope from f(7) to f(13)

Answer 2

@amistre64 according to what you told me what would be the reasonible or best answer choice out of the 4 answer choices?

Answer 3

what do you get for f(7)?

Answer 4

i aint figured it out yet, so i cant really dtermine a best answer as yet

Answer 5

the average rate of change is usually defined as the slope between twp points:\[slope=\frac{f(b)-f(a)}{b-a}\]

Answer 6

@amistre64 plaese help me my life depends on this problem sounds crazy but i need to pass okay now that you figured that out what do you think

Answer 7

i think you need to study it out and give it a shot; this site is not a free answering service. your life is in your own hands :)

Answer 8

is your difficulty in determining the piecewise definitions? or in doing hte adding and subtracting?

Answer 9

@amistre64 its the piecewise functions i hate them ok Lol thanks anyway ill work something out on how im supposed to get this answerd

Answer 10

the piecewise rules are simple enough; we are given 3 rules the depend on the values of x

it says when x = 7, that fits the second rule

when x is 13, that fits the last rule

Answer 11

when x=7, what value do we get from the second rule: (x+1)^2