Function Notation Interpreting

The function R represents the rain total rainfall, in cm, after x hours. The graph of the function is shown. Interpret the meaning of R (1.5) = 3

• After 1.5 hours, 3 cm of rain has fallen.

• After 3 hours, 1.5 cm of rain has fallen.

• After 1.5 hours, 1.5 cm of rain has fallen.

• After 3 hours, 3 cm of rain has fallen.

The function B(x) = 8x + 25 represents the cost (in dollars) of renting a bicycle for x days.

Explain the meaning of B(13)=129

• The cost of renting the bicycle for 13 days is $129.

• The cost of renting the bicycle for 129 days is $13.

• The cost of renting the bicycle for 8 days is $129.

• The cost of renting the bicycle for 129 days is $25.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

• After 5 week the plant is 4 inches tall

• The plant grows at a rate of 5/4 inch per week

• After 4 weeks the plant is 5 inches tall

• The plant grows at a rate of 1 inch per week

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

Your grade in algebra class is a function of how many proficient scores you earn. This function is represented by g(x), where x represents the number of proficient scores and g(x) represents your grade percentage. Explain what g(16) = 85 means in context.

• A grade of 16 means there were 85 proficient

• If I earn 16 proficient scores then my grade will be an 85%

• g is 5.3

• If I earn 85 proficients I will get a 16%

Explain the meaning of f(4) = 16.

• The height is 16 feet at 4 seconds.

• The height is 4 feet at 16 seconds.

Function f gives the temperature, in Celsius, t hours after midnight. Use function notation to write an equation or expression for each statement.

The temperature was the same at 9 a.m. and at 4 p.m.

• f(9) = f(4)

• f(9) = f(16)

• f(9) = 4

• f(9) = 16

The notation ​ . If f is a function, and x is in its domain, then ​ corresponding to the input of x. You can use letters other than f to name a function, ​ .

• Function notation

• such as g or h

What is x if
f(x) = -2?

• 4

• 0

• 3

• 8

Your grade in algebra class is a function of how many proficient scores you earn. This function is represented by g(x), where x represents the number of proficient scores and g(x) represents your grade percentage. Explain what g(16) = 85 means in context.

• A grade of 16 means there were 85 proficient

• If I earn 16 proficient scores then my grade will be an 85%

• g is 5.3

• If I earn 85 proficients I will get a 16%