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MATH 163 Final Exam

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Mathematics

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Math 163 Show work for credit Name_______________________________ #1(8 pts) a) Solve for x if 2x − 5 ≤ 9 ( x − 2 ) ( x + 1) > 0 2 3 ( x + 4) ( x − 4) 3 b) Solve for x if #2(7 pts) Solve for x if 3 x 2 − 6 x − 24 = 0 3 x if x ≤ 1  #3(7 pts) Graph f(x) =    x-1 if x>1  #4(7 pts) Write equation of line thru (2, 5) and (0, 3) in #5(8 pts) f(x) = 2 x3 + x 2 − 18 x − 9 = 0 slope intercept form: a) List all possible Rational solutions b) What is the maximum number of zeros c) Find all zeros #6(8 pts) P(x) = 4 x ( x − 2 ) ( x + 1) List the zeros and multiplicity of P. 3 2 Graph the function P. #7(7 pts) Solve for x if x2-5x = - 1 #8(8 pts) g(x) = x 2 − x and p(x) = 2x – 1 find p(g(3))= Also find g(p(3))= #9 (8 pts) Find the inverse of f if f(x) = #10(8 pts) if h(x) = 3 2x −1 ( x − 3) 2 ( x + 1) ( x − 4) ( x − 2 ) ( x + 4 ) 2 2 A) Domain of h is B) x and y intercepts are C) List vertical followed by horizontal asymptotes D) Graph h #11(8 pts) Solve for x if 2 x +3 = 10 x −1 #12(8 pts) a) If g(x) = ( x − 3) + 4 then given the graph of f(x) = x 2 how do you create g 2 in words. b) If h(x) = − x3 + 6 then given the graph of f(x) = x3 how do you create h in words. #13(8 pts) Create graph of f(x) = ( x − 1) + 3 on interval [0, 9] then answer the 2 following : Range of f = Local maximum = Local minimum = On what interval is f increasing = Name: Description: ...
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