PART IV QUESTION: Answer the question in this part. Each portion has the points assigned. Clearly indicate the
necessary steps and explain your reasoning. For all questions in this part, a correct numerical answer
with
no
work shown will receive only 1 credit.
15. Given the function (x) shown below answer the following questions:
(a) Is the interval -9 always increasing or always decreasing? Explain
how you determined your choice. [2 points]
decreasing, the line
is going down
(b) Evaluate each of the following: [2 points]
(i)
3f(4)
(ii) f(-5) f(-2)
(c) How many solutions would exist to the equation f(x)=-4? Explain how you determined your answer.
[2
points]
t
The
(d) Using the graph of f(x) above and the equation of h(x)=10-x², then determine the value of h(f(2)).
Show
how you arrived at your answer. [2 points]
(e) Explain why the function h(x)=10-x2 will not have an inverse that is also a function. [2 points]