Question

4 questions help please

Answer 1

@ganeshie8

Answer 2

@dom4958, what are your thoughts regarding this problem? Are you familiar with the rate of change formula?

Answer 3

not too much @Hero

Answer 4

The average rate of change of a function \(f(x)\) over an interval between two points \((a, f(a))\) and \((b, f(b))\) is the slope of the secant line connecting the two points:

\(\dfrac{f(b) - f(a)}{b - a}\)

In this case, \(a = 3\) and \(b = 9\). What you want to do is find \(f(3)\) and \(f(9)\), then plug all the values in to the formula and simplify the expression which will give the average rate of change for this problem.

Answer 5

f(6) over 6?

Answer 6

2 over 2 @Hero ?

Answer 7

@ganeshie8 @Hero

Answer 8

Just a sec

Answer 9

alright

Answer 10

If you notice the values along the \(y\) axis represent \(f(x)\) values because for functions \(y = f(x)\). In this case, \(f(3) \approx 47.25\) and \(f(9) \approx 27\).

Answer 11

\(f(3) \approx 41.25\)

Answer 12

@Hero what would i do with the f(3)≈41.25?

Answer 13

Start with the formula for average rate of change:
\(\dfrac{f(b) - f(a)}{b - a}\).

We already acknowledged that \(a = 3\) and \(b = 9\)so plug in those values in place of \(a\) and \(b\):
\(\dfrac{f(9) - f(3)}{9 - 3}\).

Next plug in the appropriate values for \(f(3)\) and \(f(9)\), then simplify.

Answer 14

-24.75 - 45.25 = 70 over 70. 7 over 7?

Answer 15

Make sure you have the numbers written correctly. For example 9 - 3 = 6 and f(3) = 41.25

Answer 16

Also, -a -b = -c.

Answer 17

whats wrong with the ones i wrote isn't that correct?
-24.75 - 45.25 = f(70)= f(7)
-24.75 - 45.25 = 70= 7

Answer 18

@Hero

Answer 19

Put it this way, there's a reason why I made the suggestions I made.