Question

What is the average rate of change of y with respect to x over the interval [–3, 5] for the function y = 2x + 2?

16
1/2
2
1/4

Answer 1

5?

Answer 2

i tried solving the equation by plugging in the values
f(-3) = 2(-3) + 2 *(5)
f(-3) = -6 +10
f(-3) = 4
f(5) = 2(10) +2(1) =
f(5) = 22-4
18/-8

but not sure where i went wrong

Answer 3

Oh I'm sorry, it's [-3,5], my bad. Yeah your method is correct, let me check your work.

Answer 4

thank you, i cant seem to find the answer on the answer choices so i know i did something wrong

Answer 5

I'm not sure why you multiplied f(-3) = 2(-3) + 2 by 5.
I think it should only be
f(-3) = 2(-3) + 2
f(-3) = -6 + 2
f(-3) = -4

And for f(5):
f(5) = 2(5) + 2
f(5) = 10 + 2
f(5) = 12


When you plug in a function like:
\[f(x) = x^2+x+3\]
and do like f(3), it becomes
\[f(x) = (3)^2+(3)+3\]

Answer 6

So then the average rate of change is
\[\frac{12-(-4)}{5-(-3)}=\frac{16}{8}=2\] Right?

Answer 7

ahh thank you so much i understand now!

Answer 8

yaaaa