Functions 2022

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

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

Front

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

Back

For a mapping to be a function, each input must be associated with exactly one output. If an input is linked to multiple outputs, it is not a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs. This is acceptable as long as each input has only one output.

Front

What is a domain in 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 a range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input. No two different inputs can produce the same output.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants, and a ≠ 0. Its graph is a parabola.

Front

What is a function table?

Back

A function table is a way to organize input-output pairs of a function. It lists inputs in one column and their corresponding outputs in another.