Functions 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 f(4) = 12 mean?

Back

It means that when the input (x) is 4, the output (y) is 12.

Front

What are outputs in a function?

Back

Outputs are the y-values in a function, representing the results of the function for given inputs.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of 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 if a graph is a function?

Back

You can determine if a graph is a function by using the vertical line test.

Front

What does T(8) = 65 represent in a cooling scenario?

Back

It represents that after 8 hours, the temperature of the water is 65 degrees Fahrenheit.

Front

What is an example of a function in real life?

Back

An example of a function in real life is the relationship between the amount of money earned (output) based on the number of hours worked (input).