Warm Up Review 9/26/23 Domain and Range

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

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Given the function y=25x+65, what is the domain if x represents miles driven between 9 and 16?

Back

Front

What is the range of the function y=25x+65 when x is between 9 and 16?

Back

Front

What does it mean if a graph has a domain of {x ≤ 0}?

Back

It means that the function is defined for all x-values less than or equal to 0.

Front

What does it mean if a graph has a domain of {2 ≤ x ≤ 7}?

Back

It means that the function is defined for all x-values between 2 and 7, inclusive.

Front

If a graph is a function, what can we say about its outputs?

Back

Each input (x-value) must correspond to exactly one output (y-value).

Front

What is the significance of the vertical line test?

Back

It helps to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.