Kolten B. answered • 05/08/17

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Hi Daysha.

The answer is D. Let me explain why. Let's look at the description for g(x) first. On the left we have the input (like the horizontal axis on a graph) and on the right is the output, or the value of the function (the vertical axis on a graph). If you look on that right list,

**the highest number is 8. This is the maximum value of g(x).**Now we have to compare this to f(x).Looking at f(x), it's an upside-down parabola (like a frown), with starts at 9 on the vertical axis and goes down from there. You can see this if you think about plugging in x=0. Then f(0)=9. If you plug in any other number for x, it gets squared, then multiplied by -5, o you have 9 + [negative number], which will be less than 9.

**So the maximum value for f(x) is 9. Since 9 is 1 unit larger than 8 (the max for g(x)), the answer is D.**Kolten B.

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05/08/17

Daysha L.

05/08/17