Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

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

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

Is the set {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, because each x-value is unique and corresponds to one y-value.

Front

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, because the x-value 1 corresponds to two different y-values (2 and 3).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

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

Yes, a function can have the same output for different inputs, as long as each input corresponds to only 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 y = mx + b, where m is the slope and b is the y-intercept.