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 evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable.

Front

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

Back

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

Front

What does f(2) represent if f(x) = 2x + 1?

Back

f(2) represents the output of the function when the input is 2. f(2) = 2(2) + 1 = 5.

Front

How do you read f(x)?

Back

f(x) is read as 'f of x'.

Front

What is the output of f(3) if f(x) = 2x + 1?

Back

f(3) = 2(3) + 1 = 7.

Front

What is the output of f(4) if f(x) = 2x + 1?

Back

f(4) = 2(4) + 1 = 9.

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) 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.