Find the Domain and Range f(x)=x+5

Problem

ƒ(x)=x+5

Solution

1. Identify the type of function. The function ƒ(x)=x+5 is a linear function, which is a polynomial of degree 1.

2. Determine the domain. For any polynomial function, there are no restrictions such as division by zero or square roots of negative numbers. Therefore, the input x can be any real number.

3. Determine the range. Since the function is a non-horizontal line (the slope is 1), it extends infinitely in both the positive and negative vertical directions. Therefore, the output ƒ(x) can be any real number.

Final Answer

Domain: *(−∞,∞), Range: *(−∞,∞)

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