Domain and Range

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

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

Back

[1, ∞) because the expression under the square root must be non-negative.

Front

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

Back

[0, ∞) because the output of x^2 is always non-negative.

Front

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

Back

(-∞, 0) ∪ (0, ∞) because x cannot be zero.

Front

What is the range of the function f(x) = 1/x?

Back

(-∞, 0) ∪ (0, ∞) because the output can never be zero.

Front

How do you find the domain of a function given a graph?

Back

Identify the x-values for which the graph exists; these values form the domain.

Front

How do you find the range of a function given a graph?

Back

Identify the y-values that the graph reaches; these values form the range.

Front

What is the domain of the function f(x) = log(x)?

Back

(0, ∞) because the logarithm is only defined for positive numbers.

Front

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

Back

All real numbers, because the logarithm can produce any real output.