Interpreting Function Relationships

Which statement is true about this function?

• The function is never constant

• The function is always increasing

• The function is never decreasing

• The function increases at the same rate between the interval x=11:00 and x=13:00

Over which interval of time is this person returning home?

• A

• B

• C

• D

• E

What does the point (2005, 14500) represent?

• In 2005, her car was worth $14,500.

• Her car was worth $2,005.

• She bought the car for $14,500.

• Her car lost $2,005 in value from $14,500.

What does the point (2, 4) represent?

• On day 2, you got 4 facts correct.

• You got 2 facts correct on day 4.

• You got a total of 6 facts correct.

• On day 3, you got 12 facts correct.

The height of water in a bucket can be tracked with the equation \(y=2x+5\) where \(y\) is the height of the water in cm and \(x \)is the number of seconds that have gone by. What does the point (4, 13) represent?

• After 4 seconds, the water height is 13 cm. 

• After 13 seconds, the water height is 4 cm. 

• The water height is between 4 and 13 cm. 

• This point would not exist on the graph. 

The distance a car travels can be modeled by the equation y=50x where y is the miles traveled and x is the number of hours that have gone by. What does the point (0, 0) represent?

• The starting point of the car. 

• Where the car ends after time is up. 

• The car travels 50 miles total. 

• This point would not exist on the graph. 

Russel's height is tracked in this graph. What does the point (12, 3) represent?

• Russel was 3 feet tall when he was 12 years old.

• Russel grew 3 inches when he was 12 years old.

• Russel grew 12 inches when he was 3 years old.

• Russel grew 12 inches over 3 years.

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.

Function F shows the distance a car traveled after h, hours. The graph is shown. Estimate F(6) and explain its meaning.

• 240;

  240 miles were traveled after 6 hours.

• 240;

  240 hours passed after 6 miles were driven.

• 320;

  320 miles were traveled after 6 hours.

• 320;

  320 hours passed after 6 miles were driven.

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