Functions
Function Notation
Average Rate of Change (Tables)
Functions and Graphs
Misc.
100

The independent variable is also usually represented by either x or y?

x

100

What letter represents the name of the function?

f

100

Between the years of 1900 and 2010 which state had a greater increase in population?

California

100

The graph represents function f, which gives the height of a drone, in meters, t seconds after it leaves the ground.

Which value is greater, f(3) or f(7)?

f(3)

100

Vertical intercepts are on the ___ - axis

200

The distance a person walks, d, in kilometers is a function of time, t, in minutes, since the walk begins. 

What is the input in this function?

time in minutes

200

Which part of the notation represents the input of the function?

t

200

According to this graph, did California and Texas ever have the same population? If yes, in what year?

Yes, in 1930.

200

Use function notation to represent the horizontal intercept.

h(4) = 0

200

Function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove, t minutes after the stove is turned on.

Explain what W(5) > W(2) represents in this situation.

The temperature of the water at 5 minutes after the stove is turned no is greater than the temperature of the water at 2 minutes.

300

Is the graph a function?

no

300

Which part of the function notation represents the output of the function?

f(t) -- the entire thing

300

Find the average rate of change in temperature between 4 p.m. and 10 p.m.


-2.8 degrees/hour

300

At what time does D(t) = R(t)?

at t = 4.3 ( or somewhere close to 4.3)

300

An art museum opens at 9 a.m. and closes at 5 p.m. The function V gives the number of visitors in a museum h hours after it opens. 

Explain what V(1.5) = 12 represents in this situation.

At 10:30 there were 13 visitors in the museum.

( Or 1.5 hours after opening, there were 13 visitors in the museum)

400

Is the following graph a functoin?

yes

400

The price of bagels, in dollars, is a function of the number of bagels bought, n. Explain what b(11) = 10 means.

The price of 11 bagels is $10.

400

Is the average rate of change between 1960 and 1980 increasing, decreasing, or 0?

Decreasing

400

Using function notation, what point is the maximum?

f(1.5) = 14

400

Given  f(x) = 5x + 3 

find f(3)

f(3) = 18

500

Jada goes for a walk and measures her distance from home in feet, and the time since she started her walk in minutes. Can she represent this situation using a function? (Explain your answer).

Yes, every input, or minute, has one output for distance.

500

The price of bagels, in dollars, is a function of the number of bagels bought, n

Use function notation to represent the cost of 6 bagels.

b(6)

500

Did the temperature drop faster between 4 p.m. and 6 p.m. or between 6 p.m. and 10 p.m. ?

Betwen 4 p.m. and 6 p.m.

500

Use function notation to represent the horizontal intercept.

h(0) = 9

500

Given  g(x) = 10x -4 

Find the value of x when g(x) = 16

x = 2