Math Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

Which of the following pairs represents a function? (5, 0) (5, 2) (2, 0)

Back

(2, 0) is a function because it does not repeat the x-value.

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, then the curve is not a function.

Front

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

Back

Yes, it is a function because each input (x-value) has a unique output (y-value).

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Identify if the following is a function: {(1, 2), (1, 3), (2, 4)}

Back

Not a function, because the input '1' is associated with two different outputs (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 its output.

Front

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

Back

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

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 which the function is defined.

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.