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5 February, 19:14

An equation of a function y (t) is shown.

y (t) = - t²+14t-40

Which of the following statements are true about the graph of y (t) for

6≤t≤8 and WHY?

a. The value of y (t) increases over the interval 6≤t≤7

b. The value of y (t) increases over the interval 7≤t≤8

c. The average rate of change over the interval 6≤t≤8 is 0

d. The value of y (t) is constant over the interval 6≤t≤8

e. The average rate of changer over the interval 6≤t≤7 is the same as the average rate of change over the interval 7≤t≤8

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Answers (1)
  1. 5 February, 20:30
    0
    From the given the function, y (t) = - t²+14t-40; the graph will be as shown below:

    From the graph, it is evident that between the intervals 6 ≤t≤8:

    The value of our function decreases over the given interval. Hence the answer is:

    a. The value of y (t) increases over the interval 6≤t≤7
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