Function Notation, Domain and Range

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

What is the domain of a relation?

Back

The domain of a relation is the set of all x-values (input values) for which the function is defined.

Front

Back

f(-2) = 7.

Front

If f(x) = -4x - 5 and g(x) = 3 - x, what is g(-4) + f(1)?

Back

g(-4) + f(1) = -2.

Front

What is the range of the relation represented by the graph shown?

Back

Front

What does function notation f(x) represent?

Back

Function notation f(x) represents the output of the function f for a given input x.

Front

How do you find the domain of a function given its equation?

Back

To find the domain, identify all x-values that do not cause division by zero or result in taking the square root of a negative number.

Front

What is a vertical line test?

Back

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

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

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

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output when x = 0.