Functions

Front

What is the definition of a function?

Back

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

Front

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

Back

A graph is a function if each x-value has only one corresponding y-value.

Front

Is the following relation a function? (x: 11, y: 2), (x: 11, y: 3)

Back

No, because the x-value 11 has two y-values paired with it.

Front

Evaluate the function for the given value: f(x) = 4, where x = 2.

Back

f(2) = 63.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What are the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), and the range is the set of all possible output values (y-values).

Front

What is a one-to-one function?

Back

A function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

What is a linear function?

Back

A function that can be expressed in the form f(x) = mx + b, where m and b are constants.

Front

What is a quadratic function?

Back

A function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.