Function Notation Practice

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) = x + 3, what is f(5)?

Back

f(5) = 5 + 3 = 8.

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

If f(x) = -4x - 5, what is f(0)?

Back

f(0) = -4(0) - 5 = -5.

Front

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

Back

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

Front

How do you find the x-value when f(x) = 10 for f(x) = 2x + 4?

Back

Set 2x + 4 = 10, then solve for x: 2x = 6, 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^2, what is f(-3)?

Back

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

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

If f(x) = 3x - 7, what is f(2)?

Back

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