3.1 Practice Flashcard

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 based on its domain.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What is the range of the function represented by the graph?

Back

The range is the set of y-values that the graph covers.

Front

What does it mean for a relation to not be a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

What is a dependent variable?

Back

A dependent variable is the variable that depends on the value of another variable, often represented as 'y' in equations.

Front

What is an independent variable?

Back

An independent variable is the variable that is manipulated or changed in an experiment, often represented as 'x' in equations.

Front

What is the notation for the range of a function?

Back

The range is often denoted using interval notation, such as [a, b] or (a, b), where 'a' and 'b' are the minimum and maximum values.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

How can you visually identify a function from a graph?

Back

You can 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 significance of the dependent variable in a real-world scenario?

Back

The dependent variable represents the outcome or effect that is measured in response to changes in the independent variable.