Domain & Range
What is the domain of a relation?
The set of all x-values (input).
What is a function?
A relation in which every input has exactly one output.
What are the four types of slope?
Positive, negative, zero, and undefined.
What does rate of change measure?
How much one quantity changes compared to another quantity.
What is the name of the cowboy in Toy Story?
Woody
Find the domain: (2, 5), (4, 7), (6, 9), (8, 11).
{2, 4, 6, 8}
True or False: A function can have the same y-value more than once.
True. Outputs can repeat, but an input cannot have two different outputs.
A line goes downward from left to right. What type of slope does it have?
Negative slope.
A car travels 120 miles in 2 hours. What is its average speed?
60 miles per hour.
What social media app is known for its streaks and disappearing pictures?
Snapchat
Find the range: (1, 3), (2, 5), (3, 3), (4, 8).
{3, 5, 8}
Is this relation a function? (1, 4), (2, 5), (3, 6), (1, 7). Explain.
No. The input 1 has two different outputs, 4 and 7.
Find the slope between (1, 2) and (3, 8).
m = 3
A table shows x-values 1, 2, 3, 4 and y-values 5, 8, 11, 14. What is the rate of change?
3 units of y for every 1 unit of x.
In Minecraft, what creature explodes when it gets close to a player?
Find the domain and range: (-3, 4), (0, -2), (5, 4), (-3, 7).
Domain: {-3, 0, 5}
Range: {-2, 4, 7}
What is the vertical line test, and how does it determine whether a graph is a function?
If any vertical line intersects the graph more than once, it is not a function.
Find the slope between (-2, 5) and (4, -1).
m = -1
A plant grows from 4 inches to 16 inches over 3 weeks. What is its average rate of change?
4 inches per week.
What is the name of the fictional town where Stranger Things takes place?
Hawkins, Indiana
(-4, 6), (2, -3), (5, 6), (2, 8), (0, -3).
Identify the domain, range, and whether the relation is a function.
Domain: {-4, 0, 2, 5}
Range: {-3, 6, 8}
Not a function.
Determine whether the relation is a function: (-2, 3), (0, 3), (2, 5), (4, 5), (-2, 3). Explain your answer.
Yes. Each unique input has exactly one output. Repeating the same ordered pair is allowed.
Find the slope between (-3, 4) and (-3, -2).
Undefined
A car's distance from home is 40 miles at hour 1, 100 miles at hour 3, and 160 miles at hour 5. Calculate the rate of change for each interval and determine whether it is constant.
From hour 1 to 3: 60/2 = 30 mph
From hour 3 to 5: 60/2 = 30 mph
Yes, the rate is constant.
In The Hunger Games, what district is Katniss Everdeen from?
District 12