Algebra II : Graphing Radical Functions

Example Questions

Example Question #430 : Radicals

State the domain of the function:       Explanation:

Since the expression under the radical cannot be negative, .

Solve for x: This is the domain, or possible values, for the function.

Example Question #431 : Radicals

Simplify the radical expression.       Explanation:

To simplify the radical we need to break the number under the radical sign into its factors.

Since we are able to factor out 9 which is a perfect square, our radical becomes: Example Question #432 : Radicals

Simplify the radical expression.       Explanation:

To simplify the radical we need to factor the number under the radical sign.

Since we can factor out 16 which is a perfect square, the radical becomes: Example Question #433 : Radicals

Simplify the radical expression       Explanation:

To simplify the radical we need to factor the number under the radical sign.

Since we can factor out a 25 which is a perfect square, the radical becomes: Example Question #434 : Radicals

Simplify the radical expression       Explanation:

To simplify the radical we need to first factor the number under the radical sign.

Since we can factor out a 25 and 4 which are perfect squares, our radical becomes: Example Question #435 : Radicals Which of the following choices correctly describes the domain of the graph of the function?   All real numbers  Explanation:

Because the term inside the radical in the numerator has to be greater than or equal to zero, there is a restriction on our domain; to describe this restriction we solve the inequality for : Add to both sides, and the resulting inequality is: or Next, we consider the denominator, a quadratic; we know that we cannot divide by zero, so we must find x-values that make the denominator equal zero, and exclude them from our domain: We factor an out of both and : Finding the zeroes of our expression leaves us with: Therefore, there are 3 restrictions on the domain of the function: All Algebra II Resources 