1) Let f(x) = |x+1| - 2.

(no explanation required)

(a) State the zero(s) of the function.________

(b)Which of the following is true? 2. ______

A.fis an even function.

B.fis an odd function.

C.fis both even and odd.

D.fis neither even nor odd.

2)Consider the points (- 2, -1) and (2, 3).

(a) Find the slope-intercept equation of the line passing through the two given points.

Show work.

(b) graph the line you find in a

3)The number of guests g in a water park t hours after 9 am is given by

g(t) = -16t² + 112t + 132 for 0 t 8.(t = 0 corresponds to 9 am)

Find and interpret the average rate of change of g over the interval

{t | 4 t 7} = [4, 7].

Show work.

4) Luke wants to purchase custom-made mugs to advertise his business. Two companies offer different deals:

Company A:Pay a design fee of $40.00, plus $4.50 per mug

orCompany B:Pay a design fee of $82.00, plus $3.90 per mug

(a) State a linear function f (x) that represents Company A's total charge for an order of x mugs.

(b) State a linear function g(x) that represents Company B's total charge for an order of x mugs.

(c) Luke wants to purchase 120 custom-made mugs, as cheaply as possible. With which company should he place his order?

(d) For what number of mugs is the total charge the same for both companies? Show algebraic work/explanation.

(e) Fill in the blanks:

Company A is the cheaper option if________(choose less or more) than ______ (enter number) mugs are ordered.