Piecewise Equations

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

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4

• f(x) = { x  if x ≤ 4;  -x+1  if x > 4

• f(x) = { -x+1  if x < 4;  x  if x ≥ 4

• f(x) = { -x+1  if x ≤ 4;  x if x > 4

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

Check all of the statements that are true

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]