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Exam Review Pre-Calc Chapters 1-5
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1.4 and 1.5 Find (f+g)(2) Find g(f(-1)) Find the inverse of g(x)
Find f(g(x))
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1.2 and 1.3 Make a sketch of each of the following. Label one point.
State domain and range of each function.
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1.2 Determine algebraically whether the functions are odd, even, or neither. Graphically odd graphs rotate around the origin and even graphs can be reflected over the y=axis.
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2.2 Determine the intervals where the graph is increasing and/or decreasing. Determine whether the function has any relative maximum or minimums.
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2.3 Given the polynomial f(x). -List all possible zeros.
-Use Descarte’s Rule to determine the number of negative and positive roots. -Find the y-intercept. -Find an upper or lower bound. -Write the function in factored form
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2.5 Find all the zeros of f(x) and use the zeros to write f(x) in factored form. Use the zeros and the y-intercept to make a sketch of the graph (refer to 2.2 for help on sketches)
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2.6 Determine whether the functions have a vertical, horizontal, or slanted asymptotes. Find them if they exist.
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2.7 Graph Label any intercepts. Label any asymptotes.
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3.1 If I invest $200 dollars into an account with 5.6% interest, compounded monthly, how much money will I have in 5 years? What if this account was compounded continuously?
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3.3 Evaluate Sec 3.4: Solve
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3.5 Use a calculator and find the exponential model that goes through the points: (0,250) (4,135), (6,92), and (10,67) Use your model to predict the y value of when x is 20.
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4.2 Find the following exact values.
These are just a few, you should know be able to find any value!!!!
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4.4 Find sin x and tan x given: -cos x=-4/5 and lies in Quadrant III
Find cot x if sec x=-2 and it lies in Quadrant II.
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4.6 Sketch the following. Label at least one point and any asymptotes if applicable.
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4.7 Find the following values.
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5.2 Prove the following.
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5.3 Solve the trig functions within the domain of [0,2pi).
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