Target due: Monday
0
lations
A roofer charges $45 for the first hour of a service call and $20 per hour for each additional hour, as shown on the graph below.
Roofer's Prices
em1
Price (in dollars)
alendar
1
5
6
7
2 3 4
Hours
Look at the above Roofer's Prices graph and then answer the following questions,
Part A What is the slope of a line joining the points on this graph?
Part B What does the slope represent?
F. TI. B IV EE 3 P2

what shape is

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.