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Chapter 2: Problem 5

Find the domain of each function. $$f(x)=x^{2}-2 x-15$$

Short Answer

Expert verified
The domain of the function \(f(x) = x^2 - 2x - 15\) is all real numbers.

Step by step solution

01

Identify the Type of Function

First, identify the function type. It's a quadratic function which is a polynomial function of degree 2.
02

Check for Restrictions on Domain

Then, check if there are any restrictions on the domain. For a quadratic function of this kind, there are generally no restrictions. However, we must keep in mind that certain cases like if the function was inside a square root, could have put restrictions on the domain.
03

Determine the Domain

Finally, determine the domain. After confirming that there are no restrictions on the domain for this function (as is usually the case with quadratic functions), we can conclude that the domain of the function is all real numbers.

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