U1L2 Piecewise Functions

Last updated 4 months ago

12 questions

Comparing/evaluating functions using graphs.
 Use <,>,or = in each statement to make it true

f(0)_______  g(0)

f(2) _______ g(2)

f(-1)_______  g(-1)

f(1)_______  g(1)

f(5)_______  g(5)

f(-2 )_______  g(-2)

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Use the graph to find the indicated function value.


g(0)=_______ 
g(2)=_______ 
g(3)=_______ 
g(5)=_______ 

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Use the graph to find the indicated function value.


h(-6)=_______ 
h(0)=_______ 
h(2)=_______ 
h(7)=_______ 

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Use the graph to find the indicated function value. 
f(-3)=_______    f(-2)=_______    f(0)=_______    f(2)=_______ 

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Use the graph to find the indicated function value.

r(-2)=_______ 
r(-1)=_______ 
r(0)=  _______ 
r(1)=_______ 

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Isaac lives 3 miles away from his school. School ended at 3 p.m. and Isaac began his walk home with his friend Tate, who lives 1 mile away from the school, in the direction of Isaac's house. Isaac stayed at Tate's house for a while and then started home. On the way, he stopped at the library. Then he hurried home. The graph is a piecewise-defined function that shows Isaac's distance home from during the time it took him to arrive home. 


a) How much time passed between school ending and Isaac's arrival home? _______ hours
b)  How long did Isaac stay at Tate's house?
  _______ hours
c) How far is the library from Isaac's house?
_______ miles

d) Where was Isaac 3 hours after school ended? (enter one word)_______ 

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A parking garage charges $3 for the first two hours that a car is parked in the garage.  After that, the hourly fee in $2 per hour.

a) Write a piecewise function to represent the cost of parking a car in the garage for x hours.

_______ ,_______ 
_______ ,_______

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a) Find c(25)=_______ 
b) How much will it cost for a group of 23 people to go to the park?_______ 

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Graph h(x) on a sheet of graph paper. 
What is the domain? Write in interval notation. _______ 
h(-1)=_______  
h(5)=_______ 
h(3)=_______

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f(10)=_______     f(-2)=_______      f(a)=_______      
g(10)=_______    g(-2)=_______     g(a)=_______    g(a+b)=_______ 
h(10)=_______    h(-2)=_______    h(a)=_______  

Your favorite dog groomer charges according to your dog’s weight. There is a flat fee for dog grooming in each weight category, unless your dog is over 40 pounds. For dogs weighing 15 pounds and under, the groomer charges $35. If your dog is between 15 and up to 40 pounds, they charge $40. The fee to groom any dog weighing over 40 pounds depends on the exact weight. They charge $40, plus $2 for each additional pound over 40. 

Write the piecewise function below that represents the charges of your dog groomer.

_______  ,_______ 
_______  , _______ 
_______  , _______ 

What would the groomer charge if your cute dog weighs 31 pounds?_______ 
What is the fee if your dog weighs 60 pounds?_______ 

1.5

Graph the following piecewise function. Use the graph to answer the questions below.

p(0)= _______ 
p(-2)= _______ 
p(1)= _______