Question

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. Make sure you use complete sentences and capitalize!

Answer 1

From the given the function, y(t)=−t²+14t−40; From the graph, it is evident that between the intervals 6≤t≤8:The value of our function decreases over the given interval.  so the answer is: a. The value of y(t) increases over the interval 6≤t≤7
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