Function Notations 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

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 equation and simplify.

Front

Given f(x) = -x + 12, find f(-2).

Back

f(-2) = -(-2) + 12 = 2 + 12 = 14.

Front

What are the inputs of a function?

Back

The inputs of a function are the values that are fed into the function, often represented as 'x' in f(x).

Front

What is the output of a function?

Back

The output of a function is the result obtained after applying the function to the input, often represented as f(x).

Front

If f(x) = -4x - 10 and f(x) = 10, how do you find x?

Back

Set -4x - 10 = 10, then solve for x: -4x = 20, x = -5.

Front

What is the range of a function?

Back

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

Front

What does it mean for a function to be defined?

Back

A function is defined for a specific input if there is a corresponding output value. If no output exists for an input, the function is undefined at that point.

Front

Given f(x) = \frac{x}{2} - x, find f(-6).

Back

f(-6) = \frac{-6}{2} - (-6) = -3 + 6 = 3.

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.