5.2 - Domain and Range Intro Warm-up

Front

What is the definition of 'domain' in a function?

Back

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

Front

What is the definition of '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

How do you determine the domain of a function from its graph?

Back

To determine the domain from a graph, look for the horizontal extent of the graph; identify the leftmost and rightmost points where the graph exists.

Front

How do you determine the range of a function from its graph?

Back

To determine the range from a graph, look for the vertical extent of the graph; identify the lowest and highest points where the graph exists.

Front

What does it mean if the domain of a function is from negative infinity to positive infinity?

Back

It means that the function accepts all real numbers as input values.

Front

What does it mean if the range of a function is from negative infinity to positive infinity?

Back

It means that the function can produce all real numbers as output values.

Front

If a graph extends from -3 to 2 horizontally, what is the domain?

Back

The domain is from -3 to 2, or written in interval notation: [-3, 2].

Front

If a graph extends from 1 to 5 vertically, what is the range?

Back

The range is from 1 to 5, or written in interval notation: [1, 5].

Front

What is the domain of a function that is defined only for x-values greater than or equal to 0?

Back

The domain is [0, ∞).

Front

What is the range of a function that has a minimum value of -2 and no maximum value?

Back

The range is [-2, ∞).