U7D5 Fall Interim Review 1: Functions, Transformations, Dom/Ran

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean to transform a function?

Back

Transforming a function involves changing its position, shape, or size on a graph.

Front

What is a vertical shift in function transformations?

Back

A vertical shift moves the graph of a function up or down without changing its shape.

Front

What is a horizontal shift in function transformations?

Back

A horizontal shift moves the graph of a function left or right without changing its shape.

Front

What does a reflection over the x-axis do to a function?

Back

A reflection over the x-axis flips the graph of the function upside down.

Front

What does a reflection over the y-axis do to a function?

Back

A reflection over the y-axis flips the graph of the function horizontally.

Front

How does multiplying a function by a factor greater than 1 affect its graph?

Back

It vertically stretches the graph, making it steeper.

Front

How does multiplying a function by a factor between 0 and 1 affect its graph?

Back

It vertically compresses the graph, making it less steep.