Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you read f(x)?

Back

f of x.

Front

What does f(3) represent?

Back

f(3) represents the output of the function f when the input is 3.

Front

If f(x) = x + 3, what is f(-2)?

Back

1.

Front

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

Back

f(x) = 2x - 3.

Front

What is the output of f(2) if f(x) = 2x - 3?

Back

1.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (f(x) or y-values) that the function can produce.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in the function f(x) = mx + b?

Back

The slope (m) represents the rate of change of the function; it indicates how much the output (f(x)) changes for a unit change in the input (x).