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 name of the function 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) that the function can accept.

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

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {0, 1, 2, -4}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {1, -3, -4}.

Front

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

Back

A graph represents a function if every x-value has exactly one corresponding y-value.

Front

Which graph is not a function?

Back

Graph 1 is not a function because it fails the vertical line test.

Front

What are the y-values in a function called?

Back

The y-values are called the range.

Front

What is the 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

If f(x) = -3x + 3, what is f(0)?

Back

f(0) = 3.