PC U2L9 Domain Restrictions

Front

What is the definition of 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 does it mean if a function has a domain of x > 0?

Back

It means that the function is only defined for positive values of x, excluding zero.

Front

How do you find the domain of a rational function?

Back

To find the domain of a rational function, identify values of x that make the denominator zero and exclude them from the domain.

Front

What is the domain of the function f(x) = \frac{x}{(x-5)(x+5)}?

Back

Front

What is the domain of the function f(x) = \sqrt{x-2}?

Back

Front

What is the domain of the function f(x) = \frac{1}{x^2-4}?

Back

Front

What does the notation (-\infty, 3] mean in terms of domain?

Back

It means that the domain includes all real numbers less than or equal to 3.

Front

What is the domain of the function f(x) = \frac{1}{x-1}?

Back

Front

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

Back

Front

What is the domain of the function f(x) = \frac{x+1}{x^2-1}?

Back