Domain and Range of Linear Functions

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

Identify the domain of the function f(x) = 2x + 3.

Back

All real numbers (−∞ < x < ∞).

Front

Identify the range of the function f(x) = 2x + 3.

Back

All real numbers (−∞ < y < ∞).

Front

What does it mean if a function is defined as f: [a, b] → R?

Back

The function f has a domain of all x-values from a to b, inclusive.

Front

If a function has a domain of 0 ≤ x ≤ 10, what does this imply?

Back

The function is only defined for x-values between 0 and 10, including both endpoints.

Front

What is the range of the function f(x) = -x + 5?

Back

All real numbers (−∞ < y < 5].

Front

How do you determine the range from a graph?

Back

Identify the lowest and highest y-values that the graph reaches.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

All real numbers except x = 2.

Front

If a function is graphed and the lowest point is at (0, -3) and the highest at (4, 2), what is the range?

Back

-3 ≤ y ≤ 2.