Question

The equation below represents a function.
f(x)=2x^2-9

What is the average rate of change of the function over the interval 3 <= x <= 6

Answer 1

you just need to find the slope [of the secant] from the point wehre x=3, to the point where x=6.

Answer 2

So, first, can you find \(f(3)\) and \(f(6)\) for me?

Answer 3

9 and 63?

Answer 4

yes correct.
f(3)=9
f(6)=63

Now, the slope between these 2 points is:

\({\rm m}=\dfrac{f(6)-f(3)}{6-3}=\dfrac{63-9}{6-3}=?\)

Answer 5

54/3=18

Answer 6

So the average rate of change on the interval [3,6] is 18

Answer 7

any questions?

Answer 8

Could you help me with another question?

Answer 9

yes, I think I can

Answer 10

Which of the following functions represents a geometric sequence? Why?
a. The function f(x) = x^3 represents a geometric sequence because each term is cubed to make it greater.
b. The function f(x) = 4x represents a geometric sequence because each term
is the next higher multiple of 4.
c. The function f(x) = 4x- 4 represents a geometric sequence because each term is 4 more than the previous term.
d. The function f(x) = 4^x represents a geometric sequence because each term is 4 times as great as the previous term.

Answer 11

@SolomonZelman