Identifying Functions

Front

What is a function?

Back

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

Front

Which of the following represents a function? A: {(1,2), (2,3), (3,4)}, B: {(1,2), (1,3)}, C: {(2,3), (3,4)}, D: {(4,5), (5,6)}

Back

A: {(1,2), (2,3), (3,4)} is a function because each input has a unique output.

Front

What is the definition of a function in terms of ordered pairs?

Back

In ordered pairs, a function is a set where no two pairs have the same first element.

Front

Identify the function: {(1,2), (2,3), (3,4)}, {(1,2), (1,3)}, {(2,3), (2,4)}

Back

The function is {(1,2), (2,3), (3,4)} because each input is unique.

Front

Which set of ordered pairs 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

The function is {(6,-5), (7,-3), (8,-1), (9,1)} because each input is unique.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

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

Back

A one-to-one function means that each output is produced by exactly one input.

Front

Identify the function: {(1,2), (2,2), (3,3)}, {(1,2), (1,3)}, {(2,3), (2,4)}

Back

The function is {(1,2), (2,2), (3,3)} because each input is unique.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values.