Question

let f(x)=x^2-100.the average rate of change from x=-2 to x=2 equals
A.-100
B.100
C.0
D.400

Answer 1

@SithsAndGiggles can u help me solve his please

Answer 2

The average rate of change will be equivalent to the slope of the line that connects the two points at x=2 and x=-2

Answer 3

So, use the slope formula. But, you'll have to find the values of the function at x=-2 and x=2

Answer 4

ok can u help me figure out the answer

Answer 5

Sure. Find the value of the function at x=-2. Plug -2 in for x.

Answer 6

-104

Answer 7

Try again. y = (-2)^2 - 100

Answer 8

i got the same thing can u help

Answer 9

(-2)^2 = 4 <- what we're using
-2^2 = -4 <- not correct
We're squaring the entire x value of -2.

(-2)^2 = -2*-2 = 4

Answer 10

When x=-2, y = (-2)^2 - 100 = 4 - 100 = -96

Answer 11

ok

Answer 12

Find the y-value at x=2. now.

Answer 13

2

Answer 14

What. ;-; Plug in 2 for x, into the function.

Answer 15

need help

Answer 16

f(x) = x^2 - 100
That's the function you were given. .-.
f(2) = 2^2 - 100

Answer 17

ok

Answer 18

s its -100

Answer 19

.-.

Answer 20

f(2) = 2^2 - 100 = 4 - 100 = ?

Answer 21

Then use the slope formula. This will give you the slope of the line connecting the two points. That slope is equivalent to the average rate of change.
\[slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\]