Function Notation

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically in the form f(x), where f is the function name and x is the input variable.

Front

If f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What does f(x) represent in a function?

Back

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

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 and simplify.

Front

If g(x) = x^2 - 1, what is g(3)?

Back

g(3) = 3^2 - 1 = 9 - 1 = 8.

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) or y-values) that the function can produce.

Front

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

Back

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

Front

What is the difference between f(x) and g(x)?

Back

f(x) and g(x) are different functions that may have different rules or equations for calculating outputs.

Front

If f(x) = 3x - 4, what is x if f(x) = 5?

Back

3x - 4 = 5; 3x = 9; x = 3.