Function or Not?

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values pair with it.

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

Is this set of ordered pairs a function and how can you tell? (3,4), (4,-3), (7,4), (3,8)

Back

No it isn't a function because an x value repeats but has different y values.

Front

Which graph does NOT pass the vertical line test? (Graph 1, Graph 2, Graph 3, Graph 4)

Back

Graph 1.

Front

Which set of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3,8), (6,-5) (7,-3) (8,-1) (9,1), (2,-2) (5,9) (5,-7) (1,4)

Back

(6,-5) (7,-3) (8,-1) (9,1).

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a graph, where x is the input and y is the output.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

Give an example of a function.

Back

f(x) = 2x + 3 is a function because for every x-value, there is exactly one y-value.