Domain and Range

Front

What is the Domain?

Back

The set of all possible input values (x-values) for a function.

Front

What is the Range?

Back

The set of all possible output values (y-values) for a function.

Front

What is the domain of the function f(x) = 1/(x-3)?

Back

x > 3 or x < 3 (x cannot be 3).

Front

What is the range of the function f(x) = x^2?

Back

y ≥ 0 (the output is always non-negative).

Front

How do you find the domain of a function?

Back

Identify the values of x that make the function undefined (like division by zero) and exclude them.

Front

How do you find the range of a function?

Back

Determine the possible output values by analyzing the function's behavior.

Front

What is the domain of the graph of y = sqrt(x)?

Back

x ≥ 0 (the input must be non-negative).

Front

What is the range of the graph of y = |x|?

Back

y ≥ 0 (the output is always non-negative).

Front

What does it mean if a function has a domain of (-∞, 5]?

Back

The function is defined for all x-values less than or equal to 5.

Front

What does it mean if a function has a range of [2, +∞)?

Back

The function outputs values starting from 2 and going to positive infinity.