Draw the horizontal asymptote (f(x)= 3x/x-2, this means 3x over x-2), and write the equation for it. Draw the vertical asymptote f(x) = 3x/x-2) this means 3x over x-2, and write the equation.

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4a) write an equation for rational function with: vertical asymptote at x=3 and x=-3. x-intercepts at a=1 and x=4. Horizontal asymptote at y=5. y=___________.

4b) Draw the horizontal asymptote (f(x)= 3x/x-2, this means 3x over x-2), and write the equation for it. Draw the vertical asymptote f(x) = 3x/x-2) this means 3x over x-2, and write the equation. Specifically, state where to write the points on the graph (what number do I write the points on for each equation).

4c) f(x) = 2x-4/-2x-4 (this means 2x-4 over -2x-4)

First by placing the horizontal and vertical asymptotes. Then plot an additional point on the graph.

4d) The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked.

Find the constant of proportionality, k, to 2 decimal places if 660 workers work 11 hours and can produce 22796.4 widgets. k=_______________.

How many widgets (to the nearest tenth) can be produced by 670 workers in 30 hours? widgets=_______________.

65) A radioactive substance decays at a continuous rate of 9.3% per day. After 11 days, what amount of the substance will be left if you started with 230 mg? First, write the rate of decay in decimal form. r=______________.

Now calculate the remaining amount of the substance. Round your answer to two decimal places.

66) Graph f(x) = -4x (take note that the x is at the top of the 4 as an exponent). Please be specific as to where I have to put the points on the graph.

67) Graph f(x) =4 x-4. (take note the x-4 is the exponent at the top of the first number 4. Please be specific as to where I have to put the points on the graph.

68) Find the logarithmic log4 (4 1/2). take note the 1/2 is at the top of the 4 in the parenthesis as an exponent.

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