Functions, Notation, and I/D

Front

What is the domain of a function?

Back

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

Front

How do you find the x-intercept of a graph?

Back

The x-intercept is found by setting the output (y) to zero and solving for the input (x).

Front

What is an independent variable?

Back

An independent variable is a variable that represents the input or cause in a function, often plotted on the x-axis.

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output or effect in a function, often plotted on the y-axis.

Front

What does the notation f(x) represent?

Back

f(x) represents a function named 'f' evaluated at the input 'x'.

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

What is a 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 for a function to be increasing?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values increase, the output values decrease.