Question

The table of values represents a quadratic function.

What is the the average rate of change for f(x) from x= −5 to x = 10 ?

Enter your answer in the box.

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Answer 1

@Vocaloid

Answer 2

look at the table

find the value f(10), the value f(-5)

then f(10) - f(-5) = ?

Answer 3

you seen the pic ?

Answer 4

yes

Answer 5

15

Answer 6

remember what I said before, f(10) doesn't mean multiply f by 10, it means you need to find the value of the function at x = 10

Answer 7

204

Answer 8

good, now repeat the process for f(-5)

Answer 9

39

Answer 10

good, now, using *** the values of f(10) and f(-5) you just found ***

then f(10) - f(-5) = ?

Answer 11

165

Answer 12

good, then we divide that by (10 - (-5))

so 165/ (10 - (-5)) = ?

Answer 13

11

Answer 14

good, so 11 = your answer

Answer 15

Let f(x) = −1/4(x + 4)^2 − 8 .

What is the average rate of change for the quadratic function from x = −2 to x = 2?



Enter your answer in the box.

________

Answer 16

same thing as before, f(2) - f(-2)

*** the answer is not 4 or 4f, you need to find the values of f(2) and f(-2) individually by plugging x = 2 and x = -2 into the function.

Answer 17

-9 and -17

Answer 18

good, so f(2) - f(-2) = ?

Answer 19

the answer is -2

Answer 20

-17 - (-9) = ?

Answer 21

-8

Answer 22

good

then divide that by (2 - (-2))

Answer 23

4

Answer 24

sorry

Answer 25

yeah it should be -4 not 4 since -8/2 = -4 = your answer

Answer 26

Which function grows at the fastest rate for increasing values of x?

h(x) = 6x^2 + 5x + 20

f(x) = 5 ⋅ 3x

g(x) = 50x + 35

Answer 27

is the x in f(x) an exponent?

Answer 28

like, is it 3^x or 3x?

Answer 29

i mean yes

Answer 30

ok, since the x is in the exponent, that means it will grow faster than just having an exponent of 2 or 1 like the others

so f(x) is the fastest

Answer 31

cause when you multiply variables with exponents, you add the exponents

Answer 32

https://static.k12.com/nextgen_media/assets/8090372-NG_AL1_O_04_U12_Quiz_01.png

The graph shows the quadratic function f(x) .


What is the average rate of change for the quadratic function from x = 6 to x = 8?

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Answer 33

I think we already did this one, we got -1 as our answer

Answer 34

we did ?

Answer 35

yes

Answer 36

I don't feel like looking for it but if you look through your last question it's in there somewhere