Functions

Front

What is a function?

Back

A function is a relation where every input has exactly one output.

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input is associated with exactly one output.

Front

What does it mean if a relation is not a function?

Back

If a relation is not a function, it means that at least one input is associated with multiple outputs.

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

Given f(x) = 2x + 3, what is f(0)?

Back

f(0) = 3.

Front

What is the output of the function f(x) = x^2 when x = -3?

Back

f(-3) = 9.

Front

If f(x) = 4x - 1, what is f(2)?

Back

f(2) = 7.

Front

What is the relationship between functions and equations?

Back

A function is a specific type of equation that defines a relationship between inputs and outputs.