Question

The quadratic functions f(x) and g(x) are described as follows:

f(x) = −8x^2 + 7

x g(x)
0 0
1 2
2 6
3 2
4 0


Which of the following statements best compares the maximum value of the 2 functions?

It is the same for both functions.
f(x) has a greater maximum value than g(x).
g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.

Answer 1

@Vocaloid

Answer 2

@twistnflip

Answer 3

any ideas about the maximum value of f(x)?

Answer 4

No :|

Answer 5

well, we know that x^2 is always positive (or 0) so -8x^2 is always negative, or 0. the maximum value of -8x^2 is 0, so the maximum value of -8x^2 + 7 is...?

Answer 6

8?

Answer 7

not quite...

-8x^2 has a maximum value of 0
so if we add it to 7, what's our new maximum value?

Answer 8

7?

Answer 9

right

Answer 10

any ideas on the maximum value of g(x)?

Answer 11

0 is smallest and 6 is the largest.

Answer 12

so the maximum is...?

Answer 13

F(x)?

Answer 14

maximum means highest value

so the maximum value of g(x) = ?

Answer 15

6?

Answer 16

right.

now compare the maximum value of f(x) and the maximum value of g(x), which one is higher?

Answer 17

F(x)
So the answer would be B?

Answer 18

yes ^ ^

Answer 19

Can you help with i more?

Answer 20

sure, post a new question and tag me if you'd like

Answer 21

ok :]