Quiz 18A sol - Solutions to Quiz 18A www.math.ufl.edu/˜harringt December 3 2007 1 Using the function f(x = log 1(x answer the following questions

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Unformatted text preview: Solutions to Quiz 18A www.math.ufl.edu/˜harringt December 3, 2007 1. Using the function, f (x) = log 1 (x), answer the following questions. 3 (a) ”f (0) = 1.” This statement is FALSE. The correct statement should read f (1) = 0, since we have: 1 3 0 = 1 ⇐⇒ log 1 (1) = 0 3 (b) ”The domain of f is (0, ∞).” This statement is TRUE. (c) ”The function f is decreasing.” This statement is TRUE. (d) ”The function f has a horizontal asymptote y = 0.” This statement is FALSE. The correct statement should read: ”The function f has a vertical asymptote at x = 0.” 2. Write the following as a logarithm: (a) 35 = 243 ⇐⇒ log3 (243) = 5 (b) 4−3 = 1 1 ⇐⇒ log4 = −3 64 64 3. Solve for x. (a) 1 3 1 83 = x 2=x log8 (x) = 1 (b) 1 2x+1 2 (2)−2x−1 −2x − 1 −2x =4 = 22 =2 =3 −3 x= 2 2 ...
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This note was uploaded on 07/12/2011 for the course MAC 1140 taught by Professor Williamson during the Fall '08 term at University of Florida.

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Quiz 18A sol - Solutions to Quiz 18A www.math.ufl.edu/˜harringt December 3 2007 1 Using the function f(x = log 1(x answer the following questions

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