Functions, Linear Translations, Domain and Range

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-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

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean to translate a function?

Back

Translating a function means shifting its graph horizontally and/or vertically without changing its shape.

Front

What is the effect of translating a function right by 2 units?

Back

The function's graph moves 2 units to the right on the x-axis.

Front

What is the effect of translating a function up by 5 units?

Back

The function's graph moves 5 units up on the y-axis.

Front

If a function has the ordered pairs (2, 3), (3, 5), and (4, 7), what is the domain?

Back

The domain is {2, 3, 4}.

Front

If a function has the ordered pairs (2, 3), (3, 5), and (4, 7), what is the range?

Back

The range is {3, 5, 7}.

Front

What does it mean for a graph to show y as a function of x?

Back

It means that for every x-value, there is only one corresponding y-value.