Question

haskel uses a formula, $200p^2 + 92p - 84$, to calculate his companys profits. when graphed, the domain of this function is $(-infty, infty)$. what does the domain represent?
a) the companys profit can have a value that is any real number.
b) the companys profit will only be a positive value.
c) the companys profit will only be a negative value.
d) haskel will make $247.50 each year.

Explanation:

The domain of a profit function $200p^2 + 92p - 84$ is the set of all possible input values (here, $p$) that produce valid outputs. A domain of $(-\infty, \infty)$ means all real numbers are allowed as inputs, which results in the profit (output) being able to take any real number value (positive, negative, zero). Options B and C are incorrect because the quadratic can yield both positive and negative values. Option D is irrelevant, as the domain does not fix a constant profit value.

Answer:

A) The company's profit can have a value that is any real number.