Algebra Function Notation

Farmer John uses a function to determine the weight of his cows. Function c gives the weight of a cow, in pounds, when it is y years old. Which statement represents the meaning of the equation c(3) = 250 in this situation?

• The weight of the cow is 250 kilograms when it is 3 months old.

• The weight of the cow has been 3 pounds for 250 months.

• The cow weights 250 pounds when it is 3 years old.

• The cow weighs 3 pounds when it is 250 years old.

Luke is driving home from work. Let D(t) denote Luke's remaining distance to drive D (measured in miles) after t minutes of driving. What does the statement D(0) = 10 mean?

• Luke's remaining distance is 0 miles after 10 minutes.

• Luke's remaining distance is 10 miles after 0 minutes.

• Luke has driven for 10 minutes at 0 miles per hour.

• Luke has driven for 0 minutes at 10 miles per hour.

Function b gives the distance in miles of Igor h hours after he started his daily school bus route. Select all statements in function notation that represent the situation:

• b(1) = 8

• b(7) = 4

• b(h) = 16 when h is 5.

• b(2) =b(7)

• b(8) = 0

Function L gives the number of Legos that can be stacked by a human in m minutes. Use function notation to represent this statement: 20 minutes after Alleah started stacking the Legos, she had 500 stacked.

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If g(x) = 2(-5x +2) + 10, what is the value of g(4)?

Mathematical Equivalence

ON

• A
• B
• C
• D

Explain the meaning of f(4) = 16.

• The height is 16 feet at 4 seconds.

• The height is 4 feet at 16 seconds.

If g(x) = 6(-8x + 12) + 7, what is the value of g(6)?

Mathematical Equivalence

ON

Function L gives the number of Legos that can be stacked by a human in m minutes. Use function notation to represent this statement: 10 minutes after Allen started stacking the Legos he had the same amount of Legos in the stack as he did 50 minutes after he started stacking.

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Functions X and Y give the number of first graders in School 1 and School 2, respectively, in year t. Which function value is greater X(2014) or Y (2014)?

• School 1

• School 2

• Neither, they are the same.