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 in place of the variable. For example, to find f(2) in f(x) = 2x + 1, replace x with 2.

Front

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

Back

This represents a linear function where the output is calculated by multiplying the input x by 2 and then adding 1.

Front

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

Back

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

Front

What is the first step to find f(1) if f(x) = 2x + 1?

Back

The first step is to plug a 1 in for all the x's, so f(1) = 2(1) + 1.

Front

How do you write the equation y = 2x - 3 in function notation?

Back

In function notation, it is written as f(x) = 2x - 3.

Front

What does it mean to find f(2)?

Back

Finding f(2) means to substitute 2 for x in the function.

Front

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

Back

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

Front

What is the output of a function?

Back

The output of a function is the value that results from substituting an input into the function.

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.