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

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

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

Evaluate f(0) if f(x) = -3x + 5.

Back

f(0) = -3(0) + 5 = 0 + 5 = 5.

Front

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

Back

f(-3) = (-3)^2 = 9.

Front

If f(x) = 4x - 1, what is the value of x when f(x) = 11?

Back

4x - 1 = 11; 4x = 12; x = 3.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2, since the function is undefined at that point.

Front

If f(x) = x + 4, what is f(-1)?

Back

f(-1) = -1 + 4 = 3.

Front

What is the range of the function f(x) = x^2?

Back

The range is all real numbers greater than or equal to 0.

Front

How do you determine if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input value is connected to exactly one output value.