Question

HELP PLEASE DOUBLE CHECK MY ANSWER!!!

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

f(x) = −8x2 + 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.

I chose A is that correct?

Answer 1

no, A is not correct

let's just look at f(x). what is the maximum value?

Answer 2

not quite, let's take a look at f(x)

f(x) = −8x2 + 7
what is the biggest possible value of f(x)?

Answer 3

would it be 8?

Answer 4

not quite, the biggest possible value of f(x) occurs when x = 0
what is the value of f(x) when x = 0?

Answer 5

f(x) = -8x^2 + 7
what is f(x) when x = 0?

Answer 6

substitute 0 for x in the equation...

f(x) = -8x^2 + 7 = -8(0)^2 + 7 = ?

Answer 7

7

Answer 8

right, so the maximum value of f(x) is 7

now look at g(x). what is the maximum value of g(x)?

Answer 9

6

Answer 10

so B ?

Answer 11

yes

Answer 12

thank you