Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where f is the function name and x is the input variable.

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 does it mean for a relation to be a function?

Back

A relation is a function if each input value (x) is associated with exactly one output value (y).

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

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 vertical line test?

Back

The vertical line test is a method used 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

Given h(x) = -9x + 5, find h(8).

Back

h(8) = -67.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where x is the input and y is the output.

Front

What is the significance of the x-coordinate in an ordered pair?

Back

The x-coordinate represents the input value for the function.

Front

What is the significance of the y-coordinate in an ordered pair?

Back

The y-coordinate represents the output value of the function corresponding to the input value.