Functions Unit Review

Front

What is a function?

Back

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

Front

What does it mean to transform a function?

Back

Transforming a function involves changing its position, shape, or size on a graph, typically through translations, reflections, stretches, or compressions.

Front

What is a vertical translation?

Back

Front

What is a horizontal translation?

Back

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph of the function, the point (x, -y) will also be on the graph.

Front

What does it mean to reflect a function over the y-axis?

Back

Reflecting a function over the y-axis means that for every point (x, y) on the graph of the function, the point (-x, y) will also be on the graph.

Front

How do you find the sum of two functions?

Back

Front

How do you find the difference of two functions?

Back

Front

What is the composition of functions?

Back

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.