What is the value of...
Domain and Range
Questions from a Graph
Function Notation
Anything Goes
100
Evaluate the function
g(x) = -3x + 1 for g(10).
Write your answer as an ordered pair.
(10, -29)
100
What is the domain of the function above?
{-4<x<∞}
100
What values of t are f(t)=g(t)? You need them all!!!
𝑡 = 0
𝑡 = 4
𝑡 = 12
𝑡 = 17
100
Nekeisha and Polina raced their spaceships. Functions 𝑛(𝑡) and 𝑝(𝑡) give their spaceships’ distance after 𝑡 seconds.
What is the meaning of n(6)>p(6)?
At 6 seconds, Nekeisha was ahead of Polina.
100
How many miles were traveled in total?
24
200
Evaluate the function
f(x) = 2x + 9 for f(-3).
Write your final answer as an ordered pair.
(-3, 3)
200
What is the range of the function?
{y≥ -5}
200
Select all the true statements.
f(2)=g(2) f(15)>g(15)
f(10)=g(10) f(2)=6
𝑓(15) > 𝑔(15)
200
Nekeisha and Polina raced their spaceships. Functions 𝑛(𝑡) and 𝑝(𝑡) give their spaceships’ distance after 𝑡 seconds.
What is the meaning of n(3)=p(3)?
At 3 seconds, Nekeisha and Polina both traveled the same distance.
200
A tourist bus journey on a day trip to the coast is recorded below. How many times was the bus exactly 30km away from home?
3
300
Evaluate
f(x) = 3(2x + 1) for f(4).
Write your answer as an ordered pair.
(4, 27)
300
What is the domain and range of the function?
Domain {all real numbers}
Range {-3≤ y≤ ∞ }
300
What is the average rate of change for f(t) from 5 to 6 minutes?
zero
300
Nekeisha and Polina raced their spaceships. Functions 𝑛(𝑡) and 𝑝(𝑡) give their spaceships’ distance after 𝑡 seconds.
When did Nekeisha and Polina both traveled the same distance.
𝑛(14) = 𝑝(14)
300
The complete graph of the function f(x) and a table of values for the function g(x) are shown below. The minimum value of f(x) is k. What is the value of g(k)?
0
400
Use the function
g(x) = -3x+1 to find x when g(x)=16.
Write your answer as an ordered pair.
(-5, 16)
400
What is the domain and range of the following:
Domain {-4≤ x≤ 5}
Range {-7≤ y≤ 5}
400
What is the average rate of change for g(t) from 6 to 12 minutes?
2/3
400
Nekeisha and Polina raced their spaceships. Functions 𝑛(𝑡) and 𝑝(𝑡) give their spaceships’ distance after 𝑡 seconds.
What is the meaning of n(16)<p(16)?
At 16 seconds, Nekeisha was behind Polina.
400
Is this a function yes/no? How do you know?
No. Because it doesn't pass the vertical line test. There are two outputs for more than one input.
500
Use the function
f(x)=3x -1 to find x when f(x)=5.
Write your answer as an ordered pair.
(2, 5)
500
What is the domain and range of the following:
Domain {-3≤ x≤ 3}
Range {-2≤ y≤ 4}
500
At what interval are f(t) and g(t) are both decreasing?
12 to 18 minutes
500
What is the average rate of change from 0 to 10 seconds for p(t)?
20/10=2
500
Ashley rode her bike around town. Her fitness tracker made a graph to represent the distance she was from her home at any given time during her ride. Did Ashley take any rest periods? If so, how long did she rest in total?
Yes, she rested for a total of 4 minutes.