Function Notation Exit Ticket

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is a function using a mapping diagram?

Back

If every input is connected to only one output, then it is a function.

Front

What does it mean if an x-value has more than one y-value in a relation?

Back

It means the relation is not a function.

Front

Given f(x) = 2x + 3, what is f(1)?

Back

f(1) = 2(1) + 3 = 5.

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

How do you find the x-value when given f(x) = k?

Back

Set the function equal to k and solve for x.

Front

What is the vertical line test?

Back

A visual way to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Given f(x) = -x + 4, what is f(0)?

Back

f(0) = -0 + 4 = 4.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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