Exam Review Pre-Calc Chapters 1-5

1.4 and 1.5 Find (f+g)(2) Find g(f(-1)) Find the inverse of g(x) Find f(g(x))

1.2 and 1.3 Make a sketch of each of the following. Label one point. State domain and range of each function.

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.

2.2 Determine the intervals where the graph is increasing and/or decreasing. Determine whether the function has any relative maximum or minimums.

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

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)

2.6 Determine whether the functions have a vertical, horizontal, or slanted asymptotes. Find them if they exist.

2.7 Graph Label any intercepts. Label any asymptotes.

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?

3.3 Evaluate Sec 3.4: Solve

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.

4.2 Find the following exact values. These are just a few, you should know be able to find any value!!!!

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.

4.6 Sketch the following. Label at least one point and any asymptotes if applicable.

4.7 Find the following values.

5.2 Prove the following.

5.3 Solve the trig functions within the domain of [0,2pi).