Question

The graph of the revenue function f(x) = –0.07x2 + 3.5x is used to determine revenue in hundreds of thousands of dollars, where revenue depends on the number of thousands of items sold, x.How do the mathematical domain and reasonable domain compare

Answer 1

Answer:

$f(x) = -0.07x^2 +3.5x$

For this case since w ehave a quadratic function the mathematical domain would be:

$D =[x| x\in R]$

Where R represent the set of the reals. Now if we analze the reasonable domain we need to see that is impossible sold negative numbers of items so then the reasonable domain would be:

$D =[x \geq 0| x\in R]$

And the difference is that the reasonable domain takes all the positive values but the mathematical takes all the possible numbers

Step-by-step explanation:

For this case we have the following function given:

$f(x) = -0.07x^2 +3.5x$

For this case since w ehave a quadratic function the mathematical domain would be:

$D =[x| x\in R]$

Where R represent the set of the reals. Now if we analze the reasonable domain we need to see that is impossible sold negative numbers of items so then the reasonable domain would be:

$D =[x \geq 0| x\in R]$

And the difference is that the reasonable domain takes all the positive values but the mathematical takes all the possible numbers