6. Module A Outcome 1 Piecewise Equations

If

 $f\left(x\right)=\frac{5}{2}x+17$  , then find the value for f(12).

• 47

• 7

• 17

• 8

If

 $f\left(x\right)=\frac{5}{2}x+17$  , then find the value for f(0).

• 47

• 7

• 17

• 8

Determine the following value for f(-5).

• 49

• 1

• 17

• -1

Determine the following value for f(-1).

• 49

• 1

• 17

• -1

A dog groomer charges according to a dog’s weight. The groomer chargers $35 if the dog is 15 lbs. and under, $40 if the dog weighs between 15 and 40 lbs. and $40 if the dog is over 40 lbs. plus an additional $2 per lb. Determine the two statements that are true.

• f(10)= 35 as a 35 pound dog will cost $10 to groom

• f(20)=40 as a twenty pound dog will cost $40 dollars to groom.

• f(60) = 80 as a 60 pound dog will cost $80 to groom.

• f(80) = 140 as a 140 pound dog will cost $80 to groom

You have a summer job that pays double for overtime. That means, if you work more than 40 hours in a week, you get paid 2 times your normal hourly wage of $7.25. Which of the following statements are true.

• f(10) =72.50 which means that you worked 10 hours and was paid your regular hourly wage which amounted to $72.50

• f(50) = 435 which means that you worked 40 hours and was paid for 10 hours of overtime. As a result you were paid $435

• f(50) = 375 which means that you worked 40 hours and was paid for 10 hours of overtime. As a result you were paid $375

• f(40) = 290 which means that you worked 290 hours in the work week and was paid $40

Choose all of the statements that are true.

• The y-intercept is -4

• There are two x-intercepts x=-1 and x = 2

• The function is decreasing from

  $-\infty$ to the x value of 0.

• The function has a local minimum (0,-4) and a local maximum (2,0)

Check all of the statements that are true

• The domain of the piecewise function is

  $\left(-\infty,\ \infty\right)$

• The domain of the piecewise function is $\left(-\infty,\infty\right)$ except 0 and 4

• The range of the piecewise function is $\left[-2\right]\cup\left[0,\infty\right)$

• The range of the piecewise function is $\left(-2\right)\cup\left(0,\infty\right]$

Check all of the statements that are true

• The Domain of the piecewise function is [0,10]

• The Range of the function is approximately [0,90]

On what intervals is the piecewise function decreasing.