Find the Domain y=5x^2+5x-8

Problem

y=5*x2+5*x−8

Solution

1. Identify the type of function. The given equation y=5*x2+5*x−8 is a polynomial function of degree 2, also known as a quadratic function.

2. Analyze the restrictions. For a function to have a restricted domain, there must be operations that are undefined for certain real numbers, such as division by zero or taking the square root of a negative number.

3. Determine the domain. Since there are no denominators or radicals involving the variable x the function is defined for all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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