practice exam 2 w08

practice exam 2 w08 - 2 3 2 = x x x x f a List each real...

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MTH 122 Test 2 Review 4.1 – 4.7 1. Given 5 2 12 6 ) ( 2 3 + - - = x x x x f a) Neatly sketch a graph of the function. Label any local maxima, local minima, absolute maxima, absolute minima, x-intercept(s) and y-intercept(s). b) Determine the intervals where the function is increasing. c) Determine the intervals where the function is decreasing. 2. Complete the graph of y = f(x) if it is a function which is symmetric with respect to the origin. Label 4 additional points on the graph. All points are integers. 3. Given the graph of f(x) below, determine the number of turning points and number of x-intercepts. What is the minimum degree of the graph? List any local and absolute extrema. Is the graph even, odd or neither? Is the leading coefficient positive or negative? Why?
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4. Be able to graph functions with different characteristics. (Ex: 5 th degree with 3 real zeros.) 5. Use the Remainder Theorem to find the remainder when 8 3 5 2 3 + - + x x x is divided by x - 4. 6. Given
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Unformatted text preview: ) 2 ( ) 3 ( ) ( 2-+ = x x x x f . a) List each real zero and its multiplicity. b) Determine whether the function crosses or touches the x-axis at each x-intercept and give a reason why. 7. Given the function 40 36 2 3 2 ) ( 2 3 4 5--+-+ = x x x x x x f , find the following. a) Find all the zeros (real and imaginary) of the polynomial. b) Factor the polynomial completely. 8. Find a cubic function f(x) with zeros: -3 i , and 1 and leading coefficient 2. Write f(x) in factored form, and then write it in expanded form. 9. Find the oblique/slant asymptote of the graph of 3 8 2 4 3 ) ( 2 2 3 + + + + = x x x x x g . 10. Given the function 4 3 8 33 4 ) ( 2 2-+ + + = x x x x x R , find: a) the domain of R(x) b) the y-intercept c) the x-intercept(s) d) the vertical asymptote(s), e) the horizontal asymptote. 11. Solve the inequality: 1 3 2 ≥--x x 12. Solve for x. 6 20 2 5 3 6 2-+-=--+ x x x x...
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This note was uploaded on 05/15/2011 for the course MTH 122 taught by Professor Stone during the Fall '08 term at Grand Valley State.

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practice exam 2 w08 - 2 3 2 = x x x x f a List each real...

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