Function, Domain, and Range

Front

What is the DOMAIN of a function?

Back

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

Front

What does it mean for a set of values to be a function?

Back

Each input value (x) must correspond to exactly one output value (y).

Front

Identify the domain of the function: f(x) = √(x-1).

Back

x ≥ 1.

Front

Identify the range of the function: f(x) = x^2.

Back

y ≥ 0.

Front

What is the domain of the function represented by the graph?

Back

The x-values that the graph covers.

Front

If a function has a domain of -3 ≤ x ≤ 3, what does this mean?

Back

The function is defined for all x-values between -3 and 3, inclusive.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

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

Back

All real numbers except x = 2.

Front

What is the range of the function f(x) = 3x - 5?

Back

All real numbers.