Question

Use the function f(x) = x2 - 6x + 3 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x).

127 y
14
10
-9
g(x)
8
7
X
12 13 14 15
8
9
10
11
2
3
12
18

Answer 1

18

Explanation:

First find axis of symmetry for f(x) = x^2 − 6x + 3 using equation x=-b/2a.

x=-(-6)/2(1)=3. Then plug x=3 back into f(x) to get the y-coordiante. f(3)= (3)^2 -6(3)+3= -6.

Max value of g(x) is x = 12. So if we have to find the difference of the maximum value of g(x) and the minimum value of f(x) we get, 12- (-6)= 18.

Answer 2

Answer: Use the function f(x)=x2-2x+8 and the graph of g(x) to determine the difference betw een the maximum value of g(x) and the minimum value of f(x).