Domain, Range, Functions, & Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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

Evaluate f(x) = 3x + 2 for f(5).

Back

f(5) = 3(5) + 2 = 15 + 2 = 17.

Front

Evaluate f(x) = x^2 for f(3).

Back

f(3) = 3^2 = 9.

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

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

Front

What is an example of a linear function?

Back

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

Front

What does it mean for a function to be evaluated?

Back

Evaluating a function means calculating the output value for a given input.

Front

What is the difference between domain and range?

Back

The domain refers to the input values, while the range refers to the output values of a function.