Answer:
(B) f(x) has a greater maximum value than g(x).
Step-by-step explanation:
Given [tex]f(x) = -8x^2 + 7[/tex]
First, we determine the maximum point of f(x).
f(x) is at maximum at the point of symmetry, i.e. where [tex]x=-\dfrac{b}{2a}[/tex]
a=-8, b=0
[tex]x=-\dfrac{0}{2*-8}=0[/tex]
[tex]f(0) = -8(0)^2 + 7=7[/tex]
- The maximum point of f(x) is (0,7)
- The maximum point of g(x) is (2,6)
Therefore, f(x) has a greater maximum value than g(x).
The correct option is B.
