Function or Not?

Front

Is this graph a function or not a function?

Back

Function

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 definition of function?

Back

Every input has only ONE output.

Front

Is the relation a function? Why? Yes, because the x-value 11 has two y-values pair with it. Yes, because each x-value has only one y-value paired with it. No, because the x-value 11 has two y-values pair with it. No, because each x-value has only one y-value paired with it.

Back

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

Front

Is this set of ordered pairs a function and how can you tell? Yes its a function because no y values repeat. No it's not a function because there are negative numbers. No it isn't a function because an x value repeats but has different y values. No it isn't a function because a y value repeats but has different x values.

Back

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

Front

What is a function in mathematics?

Back

A relation where each input (x-value) has exactly one output (y-value).

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, but each input must have only one output.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a graph.

Front

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

Back

Each output is paired with exactly one input; no two different inputs produce the same output.