Question

(WILL MARK BRAINLIST)

Answer 1

Answer:

3 or 4, I am confused

Step-by-step explanation:

I'll assume that f(x) = x2 – 2x + 8 is meant to be f(x) = x^2 – 2x + 8

Find the value of f(x) for x = 2:

f(x) = x^2 – 2x + 8

f(2) = (2)^2 – 2*(2) + 8

f(2) = 4 - 4 + 8

f(2) = 8

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From the graph, we can find that g(2) = 11

The differece between g(2) and f(2) is thus:

   11 - 8 = 3

3 is not an option, so I wonder if the question is asking for the difference between the absolute maximum of g(x) and f(2).  If so, the maximum for g(x) is 12, at x = 3.  

This would lead to a difference of 12 - 8, or 4.  This is still not an option, so I'm confused.  Perhaps you can find my error and find the ciorrect answer, or at least one that appears in the options.