Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. check your answer by noting that the curve is a line segment and calculating its length by the distance formula.

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

Now, using the distance formula we have:

So we have two points (-1, -9) and (3, 7) so:

Notice both equations gave the same length .

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.