Question

Can you please help me with #1 a and b.

Answer 1

a. All real numbers between 0 and 7.5, except s = 5.5

b. The approximate speed of her current trip, if she takes 6 hours, is 4 kilometers per hour.

As we can see from the graph, we have a vertical asymptote at s = 5.5. This means that at x = 5.5, the given function is not defined. Therefore, the domain that Jada use instead is:

`D\colon\mleft\lbrace s\mright|s\in R,0[tex]\text{ }`

Or:

[tex]0

The domain is all real numbers except s = 5.5

Next, let us find her approximate speed if the current trip takes 6 hours. As we can see from the graph, as y approaches 6, x is approaching 4. Since y = T(s), or the time, and s is the speed, we can assume that the approximate speed of her current trip, if she takes 6 hours, is 4 kilometers per hour.