Interpreting Piecewise Functions

Write a function for this problem situation.

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Write the piecewise function:

Select the correct definition for Piecewise

• Function that is made up of 2+ functions each with their own domain.

• A set of points or graphs

• An equation between 2+ variables that gives a straight line when plotted on a graph.

• none of the above.

Luke has a $25 gift card to pay for video game rentals. Which piecewise-defined function best represents the balance remaining on the gift card, f(x), after each game rental, x?

• f(x)= 25−3x,   0≤x≤5
  f(x)= 15−x,     6≤x≤10

• f(x)=  25−3x,    0<x<5
  f(x)= 15−x, 6<x<10

• f(x)=  25+3x,   0≤x≤5 
  f(x)= 15+x,   6≤x≤10

• f(x)=  25+3x,   0<x<5
  f(x)=15+x,      6<x<10

Evaluate

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

Where is the ⭑?

• f(5) = 4

• f(2) = 6

• f(6) = 2

• f(7) = 0

The phone carrier charges $35 for unlimited talk and text for each phone line and $10 for data usage of 2 gigabytes or less. If data usage exceeds 2 gigabytes there is an additional charge of $15 for each gigabyte to 4 gigabytes and $20 per gigabyte for usage greater than 4 gigabytes. Which of the following functions can be used for this scenario?

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Your favorite dog groomer charges according to your dog‛s weight, x. If your dog is under 15 pounds the groomer charges $35. If your dog is between 15 and 40 pounds, including 40 lbs, she charges $45. If your dog is over 40 pounds, she charges $60. What is the range of this situation?

• All real numbers

• 15,35,40,45,60

• All numbers 0 to 60

• 35,45,60

Given f\left(x\right)=x+5\ \ \ \ \ if\ \ \ \ \left(-\infty,-2\right) and f\left(x\right)=-4\ \ \ \ \ \ \ \ if\ \ \ \ \ \left[-2,\infty\right) Evaluate f(3)

• -4

• 8

• -2

• -1