Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is a dependent variable?

Back

A dependent variable is the output of a function, which depends on the input value.

Front

What is an independent variable?

Back

An independent variable is the input of a function, which can be freely chosen.

Front

Given f(x) = 2x^2 + 5x - 17, find f(-1).

Back

f(-1) = -20.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input corresponds to multiple outputs.

Front

What is the formula for finding the output of a linear function?

Back

The output can be found using the formula f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.