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) = x - 5, find f(-2).

Back

f(-2) = -2 - 5 = -7.

Front

If f(x) = x + 7, find f(4).

Back

f(4) = 4 + 7 = 11.

Front

What does it mean to solve for x in a function?

Back

Solving for x in a function means finding the value of x that makes the function equal to a specified value.

Front

Let w(x) = 3x - 7. If w(x) = 14, find x.

Back

3x - 7 = 14; 3x = 21; x = 7.

Front

Given f(x) = 4x - 10 and f(x) = 10, find x.

Back

4x - 10 = 10; 4x = 20; x = 5.

Front

If f(x) = x - 9, find f(4).

Back

f(4) = 4 - 9 = -5.

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.