Questions from General Calculus

Q: a. What are the domain and range off? b

a. What are the domain and range off? b. What is the x-intercept of the graph off? c. Sketch the graph off. f(x) = ln(x – 1) - 1

Q: Solve each equation for x. a. e7-4x

Solve each equation for x. a. e7-4x = 6 b. ln(3x - 10) = 2

Q: Solve each equation for x. a. ln(x2

Solve each equation for x. a. ln(x2 – 1) − 3 b. e2x - 3ex + 2 = 0

Q: Solve each equation for x. a. 2x-5

Solve each equation for x. a. 2x-5 = 3 b. ln x + ln(x – 1) − 1

Q: Solve each equation for x. a. ln(ln

Solve each equation for x. a. ln(ln x) = 1 b. eax = Cebx, where a ≠ b

Q: Solve each inequality for x. a. ln x <

Solve each inequality for x. a. ln x < 0 b. ex > 5

Q: Solve each inequality for x. a. 1 < e3x

Solve each inequality for x. a. 1 < e3x-1 < 2 b. 1 - 2 ln x < 3

Q: a. Find the domain of f(x) = ln

a. Find the domain of f(x) = ln(ex – 3). b. Find f -1 and its domain.

Q: Evaluate the difference quotient for the given function. Simplify your answer

Evaluate the difference quotient for the given function. Simplify your answer.

Q: a. What are the values of eln 300 and ln(

a. What are the values of eln 300 and ln(e300)? b. Use your calculator to evaluate eln 300 and ln(e300). What do you notice? Can you explain why the calculator has trouble?