Problem 5
Question
Find the domain of each function. $$f(x)=x^{2}-2 x-15$$
Step-by-Step Solution
Verified Answer
The domain of the function \(f(x) = x^{2} - 2x - 15\) is all real numbers.
1Step 1- Identify function type
Firstly, it is important to identify the type of function. Here \( f(x) = x^{2} - 2x - 15 \) is a quadratic function - a specific type of polynomial function.
2Step 2 - Identify the characteristics of the function type
A quadratic function, as well as other polynomial functions, are defined for all real numbers. This means there are no specific values of x that make the function undefined. There are no denominators that could become zero, no roots of negative numbers or logarithms of zero or negative numbers in the function.
3Step 3 - Conclude the domain
As there are no real values of x that make the function undefined, we can claim that the domain of the function is all real numbers.
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