Function or Not?

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Is the relation a function? Why? (x-value 11 has two y-values)

Back

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

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) is a function.

Front

Which graph does NOT pass the vertical line test?

Back

Graph 1 does NOT pass the vertical line test.

Front

Is this set of ordered pairs a function? (1,2) (1,3) (2,4) (3,5)

Back

No, it isn't a function because the x-value 1 repeats but has different y-values.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function by checking if any vertical line intersects the graph at more than one point.

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 example of a function?

Back

f(x) = 2x + 3 is a function because each input x has a unique output.

Front

What is a non-function?

Back

A relation where at least one input has more than one output.

Front

How can you tell if a set of ordered pairs is a function?

Back

Check if any x-value is repeated with different y-values.