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Problem 1. Solve the inequality. Express the solution both on the number line and in interval notation. Use
exact forms (such as fractions) instead of decimal approximations:
2x-3
≤0
5x+11
Problem 2. Solve the inequality algebraically and write the solution as an interval [3-2x| 25
and y-intercepts, the domain, the vertical and horizontal asymptotes, and then
sketch a complete graph of the function f(x) = 3x-
3x-6
1-x
Problem 3. Find the x
-
Problem 4. Let u = In(x) and v= In(y), where x, y > 0. Write the following expression in terms of u and v.
In (ys √x³)
Problem 5. Find the domain, asymptotes, and x-intercept of the function, and then sketch its graph:
f(x) = log(4-x)
Problem 6. Find the inverse of the function y =
x+3
x-2
Problem 7. Find the sum of the first 50 terms of the arithmetic sequence 3, 11, 19, 27, 35, ...