Answer

Question 1 (5 points)

(a) What is the domain and range of the function ? (if you can state the answers in interval notation)

(b) What is the concavity of this function? concave down

Graph of the function is shown below:

(a) Domain: x is all values or , since there is no value of x that places a restriction on y. (a) Range: y is less than and equal to 9 or , since the largers value of y is when x = 0 or f(x) = 9 - 0 = 9. (b) Concavity: The graph is concave down since the rate of change of the function is decreasing throughout the function (not at x = 0, the slope of rate of change is 0).

Question 2 (5 points)

(a) Write a possible formula for the function shown in the table below: f(x) = -4x + 12

x	2	4	6	8	10
f(x)	4	-4	-12	-20	-28

(b) What is f(0) ? This is the same as b or the y-intercept,  f(0) = 12

(c) What is f ^-1(4) = ? From the table above this is the same as asking: "what is x when f(x) = 4?"

So f^-1 (4) = 2 or from the formula of the inverse:

Since then