Final answer:
The range of the function p(x) = 10x + 100 is all real numbers, since as x increases or decreases without bound, so does the value of p(x).
Step-by-step explanation:
The question is asking for the range of the function p(x) = 10x + 100. The range of a function is the set of all possible values that the function can output.
In the case of a linear function like this one, which has a non-zero slope (10) and no restrictions on the domain, the range is all real numbers because as x approaches positive or negative infinity, the value of p(x) will also approach infinity accordingly, in the positive or negative direction.
Simply put, no matter what real number value you put into x, you'll get a corresponding value of p(x).
Therefore, there are no restrictions on the possible values of p(x), meaning the range is all real numbers, which is often notated as (-∞, ∞).