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

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's expression and simplify.

Front

What does f(3) = 4 mean?

Back

It means that when the input to the function f is 3, the output is 4.

Front

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

Back

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

Front

What is the output of f(x) if f(x) = 19?

Back

To find the output, set f(x) = 19 and solve for x. In this case, x = 3.

Front

How can you represent the output of a function as an ordered pair?

Back

The output of a function can be represented as an ordered pair (x, f(x)), where x is the input and f(x) is the output.

Front

What is the significance of the notation f(x)?

Back

f(x) indicates that f is a function of x, meaning that the output depends on the value of x.

Front

If f(2) = 4, what does this tell us about the function?

Back

It tells us that when the input is 2, the output of the function is 4.

Front

How do you find f(2) if f(x) = 2x + 1?

Back

Substitute 2 into the function: f(2) = 2(2) + 1 = 4 + 1 = 5.

Front

What is the domain of a function?

Back

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