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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
5x411
Problem 2. Solve the inequality algebraically and write the solution as an interval 13-2x ≥ 5
Problem 3. Find the x - and y-intercepts, the domain, the vertical and horizontal asymptotes, and then
sketch a complete graph of the function f(x) =
3x-6
1-x
Problem 4. Let u = ln(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(4x)
Problem 6. Find the inverse of the function y=X+2
Problem 7. Find the sum of the first 50 terms of the arithmetic sequence 3, 11, 19, 27, 35,
f(x+h)-f(x) (assume h = 0) for f(x) = 3x² + 2x + 5
h
Problem 8. Find the difference quotient
3
Sagot :
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