Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if every input is associated with one and only one output.

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

What is the domain of a function?

Back

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

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

If f(x) = 3x + 2, what is f(1)?

Back

f(1) = 3(1) + 2 = 5.

Front

What is an independent variable in a function?

Back

An independent variable is the input value (x-value) that can be changed freely.

Front

What is a dependent variable in a function?

Back

A dependent variable is the output value (y-value) that depends on the input value.

Front

What is the difference between input and output in a function?

Back

Input refers to the x-values, while output refers to the y-values in a function.