Functions & Function Notation

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

Is the following graph a function? Explain.

Back

Yes, because no x-value repeats.

Front

Is this table a function or not a function?

Back

Not a Function.

Front

Find f(2) if f(x) = 2x + 1.

Back

5.

Front

How would you write y = 2x - 3 in function notation?

Back

f(x) = 2x - 3.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values).

Front

What is the range of a function?

Back

The set of all possible output values (y-values).

Front

What does it mean for a function to be one-to-one?

Back

Each output is paired with exactly one input.

Front

What is a vertical line test?

Back

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

Front

What is function notation?

Back

A way to represent functions using symbols, typically f(x) to denote the output of function f for input x.