# (solution) 1. Perform the indicated operation. Note that the denominators

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1.­ Perform the indicated operation. Note that the denominators are different. Simplify the result, if possible. 2.­ Consider the rational function, a) Find , shown in the graph given above. b) What are the vertical asymptotes of ? Note: If there is more than one, list each separated by a comma: &quot;x=a, x=b&quot;. Do not include spaces around the equals sign. Type, for example, &quot;x=1&quot;, not &quot;x = 1&quot;. Answer: c) If you were to continue the graph to the right, the graph would tend to look like a horizontal line. What is
the equation for the horizontal asymptote? Answer: 3.­ REVIEW: The graph of a linear equation, where is shown above. Find the interval . Answer: 4.­ Suppose that . Evaluate each of the following: = = 5.- Differentiate Answer: 6.- Given the following functions: and 7.­ Find an equation of the tangent line to the curve at the point . Tangent line: 8.- ) Find and so that the function is both continuous and differentiable. = . Find: = 9.- Calculate the second and the third derivative of 10.- Calculate the derivative indicated. 11.- Find as a function of if 12.- Find the derivative of .