Function or Not
This is the reason why the relation {(0,-2), (3,5), (4,-2), (0,7)} is not a function.
Is the input zero associated with two different outputs, -2 and 7?
If a graph shows the distance a turtle has traveled, this is what the point (8, 6) means in words.
After 8 seconds, is the turtle 6 units of distance away from its starting point?
Given g(x)=x2+5, this is the value of g(−7).
What is 54?
If P(t) represents the number of people in a store t hours after it opens, this is what the statement P(3)=P(6) means.
Is the number of people in the store 3 hours after opening the same as the number of people in the store 6 hours after opening?
This type of graph does not represent a function.
What is a circle?
For a function P(t) representing the number of people in a store t hours after it opens, this is what P(2)=83 means.
Two hours after the store opens, are there 83 people inside?
Given g(x)=x2+5, this is the expression for g(x+h).
What is (x+h)2+5?
This is the definition of a function's domain.
What is the set of all possible input values (x-values) for a function?
This is the term for a relation where each input has exactly one output.
What is a Function?
This is what a monthly internet bill that doesn't fluctuate based on usage looks like on a graph.
What is a horizontal line?
Let f(x)=2x+1. This is the value of f(t).
What is 2t+1?
This is the difference between a function and a relation.
In a function, each input has only one output. In a relation, an input can have one or more outputs?
This is the test used to determine if a graph represents a function.
What is the vertical line test?
If a graph shows the revenue of two companies over time, this is what a point of intersection between the two graphs would represent.
What is the time and value at which the two companies had the same revenue?
For a function P(L)=121, this is the expression for the input.
What is L?
For a graph of a person's speed over time, this is what a horizontal line means.
Is the person's speed constant during that time period?
A relation where X is a person's name and Y is their age is a function.
What is Yes?
For a function F(d) that models library late fees, this is what is happening when the graph changes from a slope of 0.25 to 0.50 after the first five days.
Does the late fee rate increase after the first five days?
If C(m)=0.50m+2 represents the cost of a taxi ride in terms of miles (m) and the total cost was $10, then this is the number of miles the ride was.
What is 16 miles?
This is the difference between the statements d(4)=6 and d(6)=4.
d(4) = 6 means that at 4 seconds, the distance is 6 units. d(6) = 4 means that at 6 seconds, the distance is 4 units.