Question

Functions f(x) and g(x) are described as follows:

f(x) = -2x2 + 3

x g(x)
0 0
1 2
2 3
3 2
4 0


Which statement best compares the maximum value of the two functions?

Answer 1

Any help would be much appreciated.

Answer 2

@Nnesha

Answer 3

Are busy?

Answer 4

list of statements?

Answer 5

Oh... my bad. I knew I was forgetting something.

Answer 6

Which statement best compares the maximum value of the two functions?

It is equal for both functions.
It is 2 units higher for f(x) than g(x).
It is 2 units lower for f(x) than g(x).
It is 1 unit higher for f(x) than g(x).

Answer 7

ok, so let's just look at f(x) for now

f(x) = -2x^2 + 3
what is the maximum value of f(x)?

Answer 8

Okay.. sorry for the long response. Open Study isn't agreeing with me... as usual.

Answer 9

aah geez. I can't remember how to do f(x) problems...

Answer 10

hint: the maximum value of f(x) happens when x = 0
so, when x = 0, what is f(x)?

Answer 11

Not there. I thought x = 1. So if x = o than... f(x) would just be... 0... I am sure I'm wrong about that lol. I have never been good at Algebra.

Answer 12

f(x) = -2x^2 + 3 = -2(0) + 3 = ?

Answer 13

uh...

Answer 14

-2(0) + 3 = ?

Answer 15

3?

Answer 16

right, so our maximum value of f(x) is 3

now take a look at g(x), what's the maximum value?

Answer 17

Whats the equation?
Is it still: f(x) = -2x2 + 3 only with g(x) in place of f(x)

Answer 18

no, it's the table...

Answer 19

it's this part

x g(x)
0 0
1 2
2 3
3 2
4 0

Answer 20

The highest number on the table is 3.

Answer 21

right, so the maximum value of g(x) is 3

so our final answer is...?

Answer 22

uh...

Answer 23

D!

Answer 24

no... its A. lol

Answer 25

right, A

Answer 26

A medal for you and a....medal for me...?

Answer 27

sure

Answer 28

Yay! Now I have a wopping 3 medals lol. Thanks for all your help.