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

Evaluate f(-2) if f(x) = x² + 3.

Back

f(-2) = (-2)² + 3 = 4 + 3 = 7.

Front

For the function f(x) = -3(x-1), find f(0).

Back

f(0) = -3(0-1) = -3(-1) = 3.

Front

What is the sum of the functions f(x) = 2x + 5 and g(x) = 3x - 9?

Back

f(x) + g(x) = (2x + 5) + (3x - 9) = 5x - 4.

Front

Find f(10) if f(x) = -4x - 10.

Back

f(10) = -4(10) - 10 = -40 - 10 = -50.

Front

What does f(x) represent in function notation?

Back

f(x) represents the output of the function f for a given input x.

Front

If f(x) = x² + 3, what is f(1)?

Back

f(1) = 1² + 3 = 1 + 3 = 4.

Front

What is the value of f(x) when x = -1 for f(x) = x² - 1?

Back

f(-1) = (-1)² - 1 = 1 - 1 = 0.

Front

Define the term 'domain' in relation to functions.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

Define the term 'range' in relation to functions.

Back

The range of a function is the set of all possible output values (f(x) values) that the function can produce.