IM Alg2.2.17 Practice: Graphs of Rational Functions (Part 1)

[size=150]Jada is planning a kayak trip. She finds an expression for the time, [math]T(s)[/math], in hours it takes her to paddle 10 kilometers upstream in terms of [math]s[/math], the speed of the current in kilometers per hour. This is the graph Jada gets if she allows [math]s[/math] to take on any value between 0 and 7.5.[/size][br][img]data:image/png;base64,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[/img][br]What would be a more appropriate domain for Jada to use instead?[br]
What is the approximate speed of the current if her trip takes 6 hours?[br]
[size=150]A cylindrical can needs to have a volume of 6 cubic inches. A label is to go around the side of the can. The function [math]S(r)=\frac{12}{r}[/math] gives the area of the label in square inches where [math]r[/math] is the radius of the can in inches.[/size][br][br]As [math]r[/math] gets closer and closer to 0, what does the behavior of the function tell you about the situation?[br]
As [math]r[/math] gets larger and larger, what does the end behavior of the function tell you about the situation?[br]
[size=150]What is the equation of the vertical asymptote for the graph of the rational function [math]g(x)=\frac{6}{x-1}[/math]?[/size]
A geometric sequence h starts at 16 and has a growth factor of 1.75. Sketch a graph of h showing the first 5 terms.
[size=150]Is this the graph of [math]g(x)=\text{-}x^2(x-2)[/math] or [math]h(x)=x^2(x-2)[/math]? [/size]Explain how you know.[br][img]data:image/png;base64,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[/img]
A 6 oz cylindrical can of tomato paste needs to have a volume of 178 cm³. The current can design uses a radius of 2.75 cm and a height of 7.5 cm. find a cylindrical design that would have less surface area so each can uses less metal.
The surface area S(r) in square units of a cylinder with a volume of 20 cubic units is a function of its radius r in units where [math]S(r)=2\pi r^2+\frac{40}{r}[/math]. What is the surface area of a cylinder with a volume of 20 cubic units and a radius of 4 units?
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Information: IM Alg2.2.17 Practice: Graphs of Rational Functions (Part 1)