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

What does f(x) represent in a function?

Back

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

Front

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

Back

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

Front

How do you find f(a) if f(x) = x^2?

Back

To find f(a), substitute a for x: f(a) = a^2.

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) = 3x - 5, what is f(0)?

Back

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

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output value for a specific input.

Front

If f(x) = x + 2, what is f(-1)?

Back

f(-1) = -1 + 2 = 1.

Front

What is the relationship between f(x) and y in function notation?

Back

In function notation, f(x) is equivalent to y; both represent the output of the function.