Flashcard Review 1.1-1.5

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

Identify if the following is a function: {(1,-5), (3,1), (-5,4), (4,-2)}

Back

Yes, it is a function because each x-value is unique.

Front

Identify if the following is a function: {(1,-5), (-1,6), (1,5), (6,-3)}

Back

No, it is not a function because the x-value '1' has two different outputs.

Front

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

Back

Each input must correspond to exactly one output.

Front

What is a vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph more than once, it is not a function.

Front

What is the significance of the y-intercept in a function?

Back

The y-value where the graph intersects the y-axis (when x=0).

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, calculated as (change in y)/(change in x).

Front

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

Back

List all the unique y-values from the ordered pairs.