Identifying Functions

Front

What is the definition of a function?

Back

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

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

{(6,-5), (7, -3), (8, -1), (9, 1)} is a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

Front

Which of these tables represent a function? A: (1,2), (2,3); B: (1,2), (1,3); C: (2,3), (3,4); D: (3,4), (3,5)

Back

Table A represents a function.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Can a function have the same output for different inputs?

Back

No, a function cannot have the same output for different inputs; each input must correspond to exactly one output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.