Functions Finale (Version 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 (y-values) that the function can produce.

Front

Given the function f(x) = x + 3, what value of x makes f(x) = -5?

Back

x = -8.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for a relation to have a specific domain and range?

Back

It means that the relation only includes certain input values (domain) and produces certain output values (range).

Front

How do you find the output of a function for a given input?

Back

Substitute the input value into the function's equation and simplify to find the output.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What is the notation for a function?

Back

Functions are often denoted by letters such as f, g, or h, followed by the input in parentheses, e.g., f(x).

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 1.

Front

What is the output of the function d(x) = x^2 + 3 when x = 3?

Back

The output is d(3) = 3^2 + 3 = 9 + 3 = 12.