Function Notation U4 L1-3

Tessa's class had a math exam where the grades were between 0 and 100. Let N(g) represent the number of students N whose grade on the exam was g. Use function notation to represent the following: 36 students received a passing score of 65

• N(g) = 65

• N(65) = 36

• N(36) = 65

• g(N) = 36

Let P(t) denote the number of people P at the Copacabana beach in Rio de Janerio, t hours past midnight on a specific day. What does the statement P(5) < P(9) mean?

• The time at which there were 5 people at the beach is earlier than the time where there were 9 people

• 5AM is an earlier time than 9AM

• There were more people at the beach at 9AM than there were at 5AM

Let F(t) denote the distance of a dog from a post, in feet, t seconds after the owner left. Select all true statements

• F(0) < F(160)

• F(20) = F(60)

• F(90) < F(45)

• F(160) = F(10) + F(45)

"Princess Tower" in Dubai is considered the world's tallest residential building, towering to 101 floors. T(n) models the number of tenants living on floor n of the tower. What does T(60) > T(10) + T(30) mean?

• The number of floors with 60 tenants is greater than the number of floors with either 10 or 30 tenants

• There are more tenants on floor 60 than there are on floors 10 and 30 combined

• The height of floor 60 is greater than the sum of the heights of floors 10 and 30

• There are fewer tenants living on floor 60 than there are on floors 10 and 30 combined

Let H(t) denote the height of a toy rocket, in feet, t seconds after launch. Use function notation to represent the following: three seconds after the rocket launched, it reached a height of 12 feet

• H(3) = 12

• H(t) = 3

• T(h) = 12

• H(12) = 3

Let P(t) denote the population of Michigan, in millions, t years after the year 2000. What does P(10) = 10.5 mean?

• The population of Michigan was 10.5 thousand people 10 years ago

• The population of Michigan was 105 thousand people in 2010

• The population of Michigan was 10,000,000 people in 2015

• The population of Michigan was 10,500,000 people in 2010

Let P(t) denote the number of partygoers that arrive t hours after midnight. Use function notation to represent the following: there were 150 partygoers at 4:30AM

• P(150) = 1.5

• P(4.5) = 150

• P(4:30) = 150

• P(16:30) = 150

Let H(t) represent the height of a rocket from the ground, in feet, t seconds after launch. Select all true statements that apply

• H(5) = H(0)

• H(4) > H(8)

• H(1.5) = H(6.5)

• H(4) = 24

Select the correct graph based on the following description:

F(0) < F(6)

F(9) > F(1)

F(6) = 4

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