Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

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) that a function can produce.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input is associated with exactly one output.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one corresponding f(x).

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 is associated with two different outputs.

Front

How do you find f(2) for the function f(x) = x^2?

Back

f(2) = 2^2 = 4.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two variables using dots to represent data points.

Front

What is a trend line?

Back

A trend line is a line that best represents the data on a scatter plot, showing the general direction of the data.

Front

How do you determine the range from a set of ordered pairs?

Back

The range is found by listing all the unique y-values from the ordered pairs.