I need some help understanding and getting answers for the following practice questions

2.Let.f(x)= |3x|- 9

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

(b)Which of the following is true?_____

A.fis an odd function.

B.fis both even and odd.

C.fis an even function.

D.fis neither even nor odd.

4. Consider the points (- 4, 7) and (-1, 3).

(a) Find theslope-intercept equationof the line passing through the two given points.Show work.

(b) Graph the line you found in (a), by drawing it on the grid in the previous problem #3

(c) Compare your line for this problem, #4, with the line in the previous problem #3. Are the two lines parallel, perpendicular, or neither parallel nor perpendicular?(The terms parallel and perpendicular are discussed on pages 166 and 167.)No explanation required - just state the answer.

5. (8 pts) The number of guestsgin a water parkthours after 9 am is given by

g(t) = -32t²+ 220t+ 250 for0t8.(t= 0 corresponds to 9 am)

Findthe average rate of change ofgover the interval {t|4t6}= [4, 6].

Show work.

6. Tom wants to purchase custom-made mugs to advertise his business. Two companies offer different deals:

Company A:Pay a design fee of $65.00, plus $4.20 per mug

orCompany B:Pay a design fee of $95.00, plus $3.90 per mug

(a) State a linear functionf(x) that representsCompanyA's total charge for an order ofxmugs.

(b) State a linear functiong(x) that representsCompanyB's total charge for an order ofxmugs.

(c) Luke wants to purchase 130 custom-made mugs, as cheaply as possible. With which company should he place his order?Show work/explanation.

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

(e) Fill in the blanks:

Company A is the cheaper option if _____(chooselessormore)than_____(enter number)mugs are ordered.