Identify Functions

Front

What is a function?

Back

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

Front

How can you tell if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-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 crosses the curve more than once, it is not 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 gives one output.

Front

What is an example of a non-function?

Back

An example of a non-function is y^2 = x, because for some x values, there are two corresponding y values.

Front

What does the term 'domain' refer to in functions?

Back

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

Front

What does the term 'range' refer to in functions?

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 has only one output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.