Question: 1. Simplify first, then evaluate. Do not use calculator. (4 Marks) a) 10g8 6 - 10 g8 3 +log 8 2 b) log, 3V3 2.

1. Simplify first, then evaluate. Do not use calculator. (4 Marks) a) 10g8 6 - 10 g8 3 +log 8 2 b) log, 3V3 2. Write the following as a single logarithm 4+ 3[log,(x + 1)-log, (1 -x)] (3 marks) 3. For the function y = -log,(2-2x)+4, determine the following ( 4 marks) a. Equation of the asymptote b. y- intercept c. Domain d. Range 4. Given y = -2.(5) 2 +1, determine the following ( 4 marks) e. Domain: f. Range: g. Equation of the asymptote: h. Increasing or decreasing: 5 . Sketch the following functions. y = - log2; (x - 1)] + 2 State the domain, range, and the intercepts. Give the equation of the asymptote as well. ( 7 marks)

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