Question

Complete the following statements.The functions fand g haveThe y-intercept of fisthe y-intercept of g.Over the interval [-6, -3], the average rate of change of fisthe average rate of change of g.

Answer 1

f(x) has a line of symmetry at x = -3 since that is its vertex

g(x) has a line of symmetry at x = -3 since that is its vertex

They both have the same axis of symmetry

f(0) i=8

g(0) = -2

The y intercept of f(x) is greater than the y intercept of g(x)

The rate of change of f(x) over -6 to -3

m = f(-3) - f(-6)

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-3 - (-6)

=-10 - 8

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-3+6

= -18/3 = -6

The rate of change of g(x) over -6 to -3

m = g(-3) - g(-6)

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-3 - (-6)

= 7 - (-1)

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-3+6

8/3

Compare the magnitude and f(x) has a greater magnitude