Precalculus questions with polynomials, exponentials, etc.
1.) If f(x) = x^3 + 3x^2 – 1, which of these is true?
I. f has domain all real numbers
II. f is a 1-1 function
III. f is onto the set of real numbers
a. Only one (could be any one
b. I and II
c. II and II
d. I and II
e. All three
2) solve e^x +2x =7
3) If log 3 = 1.4 and log5 = 3.6, find log 45
4) Find the period of f(x)= 3-2cos(3x + π)
5) find csc(arctan 8/15)
6) for x ?[0, 2π), solve: cos2x = cosx