Functions and Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

Translate the coordinate pair (0,8) into function notation.

Back

f(0) = 8

Front

Does the table represent a function?

Back

Yes, if each input has exactly one output.

Front

What does f(x) represent?

Back

f(x) is the same as y, representing the output of the function for a given input x.

Front

What is the domain of a function?

Back

The domain is the set of all x-values for which the function is defined.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What is function notation?

Back

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

Front

If f(x) = -5x + 10, what is f(3)?

Back

f(3) = -5(3) + 10 = -15 + 10 = -5.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What is an independent variable in a function?

Back

The independent variable is the input value, often represented as x, that can be freely chosen.