Answer:
Step-by-step explanation:
The line of symmetry of f(x) is the value of x where f(x) is a minimum. x=2 where f(x) = -9, its minimum.
The line of symmetry for f is x=2.
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The same is true for g(x). Its minimum is -7 at x=1.
The line of symmetry for g is x=1.
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As for any function, the y-intercept is the function value where x=0. The table for f(x) shows that to be -5. The graph shows the y-intercept of g(x) to be -6.
The y-intercept for f is greater than the y-intercept for g.
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The average rate of change of a function is the amount of change in the function divided by the width of the interval. The interval in this case is the same for both functions, so we only need to look at the amount of change.
For f(x), the change is f(4) -f(2) = -4 -(-9) =5.
For g(x), the change is g(4) -g(2) = 2 -(-6) = 8.
On the interval, the average rate of change of f is less than the average rate of change of g.
