The polynomial function p(x) models the profits of the sneaker company, RunFast, during the first ten years of a new CEO’s employment. 3.Approximate the intervals of increase and decrease in profit with a corresponding rate of change for each interval.

Label your Intervals of decrease from (x, y) to (x, y) then find its average rate of change:

(Make sure to label your rate it in dollars and years)

First decrease interval: ( ___ , ___ ) to ( ___ , ___ )

It’s average rate of change:

Second decrease interval: ( ___ , ___ ) to ( ___ , ___ )

It’s average rate of change:

Increase interval: ( ___ , ___ ) to ( ___ , ___ )

It’s average rate of change:

5. Find the average rate of change over the first ten years of the new CEO’s employment:

Average rate of change from year 0 to year 10: (Make sure to label your rate it in dollars and years)

Please show work.

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

Which is greater, 7 p 5 or 7 c 5? 7p5 7c5

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|