Writing and interpreting functions

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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What information indicates that you should use the STANDARD form to start a word problem?

• A rate of change and an initial value

• Two rates and a total value

• A rate of change and a random input & output

• Two sets of inputs and outputs

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

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

Which table best matches the description:

In a football league, each team plays all other teams twice.

x is the number of teams

y is the total number of games played by one team

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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

Income tax problem

0 - $23,000, tax rate = .15

$23,000 - $42,500, tax rate = .23

greater than $42,500, tax rate = .38

What is the first line of the function?

(use $ and , for numbers

ex: $56,500)

Table

g

h

i

j

a

b

c

9.72

14.52

13.2

10.91

15.98

12

10.8

9.92

9.02

10

Which table is correct for y = -³/₂x + 5

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