Question

Algebra 2 If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]?
A. 51

B. 40

C. 31

D. 20

E. 4
is it E?

Answer 1

just evaluate
\[\frac{f(6)-f(-4)}{6-(-4)}\]

Answer 2

is it 20

Answer 3

what is f(6)=?
and what is f(4)=?

Answer 4

oops f(-4)?

Answer 5

\[f(x)=x^2+2x+3 \\ f(6)=6^2+2(6)+3=? \\ f(-4)=(-4)^2+2(-4)+3=?\]

Answer 6

uhh was it 51 and 4 ?

Answer 7

(-4)^2=(-4)(-4)=16
2(-4)=-8


16+(-8)+3
8+3
11
I get 11 for f(-4)

Answer 8

\[\frac{f(6)-f(-4)}{6-(-4)}=\frac{51-11}{10}\]

Answer 9

so was I right then with the final answer being 4... I really suck at this...

Answer 10

yes 51-11=40
and 40/10=4

Answer 11

Thank you

Answer 12

np