SECTION 1.7 & CHAPTER 4 1. Determine the inverse function of f(x) = x + 1....

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SECTION 1.7 & CHAPTER 4 1. Determine the inverse function of f(x) = x³ + 1. 2. Sketch the graph of f(x) = 2* - 2. State the coordinates of any intercepts and the equations of any asymptotes. Scale the axes. 3. Evaluate: a) f(x)=e* if x = 1.63 b) f(x): = 10% if x = -0.85 4. Sketch the graph of g(x) = ln(x - 2). State the coordinates of its x-intercept and the equation of its vertical asymptote. Scale the axes. 5. Simplify: a) 3¹0g, 36 b) In eB 6. Evaluate: a) In 28.3 b) log 22.3 7. Evaluate: a) log264 b) log425 8. Rewrite each expression in terms of In 2 and In 7: a) In(7/2) b) In 28 (Hint. 28 = 4 x 7) 9. Solve: a) 4³x+1 = 64 b) 5¹-2x = 1/625 10. Solve: a) ln x = -2 b) logx 1728 = 3 11. Solve: log2 (5+x) + log2(5-x) = 4 12. An investment of $10,000 with a rate of 6.951% compounded continuously will be worth how much in 10 years (to the nearest cent)? Use A = Pe¹¹. 13. The population P in thousands of Reno, Nevada is given by P = 134ekt where t = # years since 1990. If the population was 180,000 in the year 2000, find k to 3 decimal places. 14. [H] = 2.1 x 104 for a hair rinse. Find its pH stated to 2 decimal places. Use the formula pH = -log [H+]. SECTION 1.7 & CHAPTER 4 1. Determine the inverse function of f(x) = x³ + 1. 2. Sketch the graph of f(x) = 2* - 2. State the coordinates of any intercepts and the equations of any asymptotes. Scale the axes. 3. Evaluate: a) f(x)=e* if x = 1.63 b) f(x): = 10% if x = -0.85 4. Sketch the graph of g(x) = ln(x - 2). State the coordinates of its x-intercept and the equation of its vertical asymptote. Scale the axes. 5. Simplify: a) 3¹0g, 36 b) In eB 6. Evaluate: a) In 28.3 b) log 22.3 7. Evaluate: a) log264 b) log425 8. Rewrite each expression in terms of In 2 and In 7: a) In(7/2) b) In 28 (Hint. 28 = 4 x 7) 9. Solve: a) 4³x+1 = 64 b) 5¹-2x = 1/625 10. Solve: a) ln x = -2 b) logx 1728 = 3 11. Solve: log2 (5+x) + log2(5-x) = 4 12. An investment of $10,000 with a rate of 6.951% compounded continuously will be worth how much in 10 years (to the nearest cent)? Use A = Pe¹¹. 13. The population P in thousands of Reno, Nevada is given by P = 134ekt where t = # years since 1990. If the population was 180,000 in the year 2000, find k to 3 decimal places. 14. [H] = 2.1 x 104 for a hair rinse. Find its pH stated to 2 decimal places. Use the formula pH = -log [H+].

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