1) Find the amplitude and period of y = 3cos(2x + 3). Use your calculator to graph the function and state its symmetry. Find the first positive x-intercept using your calculators zero function.

2) Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x.

3)State the vertical, horizontal asymptotes and zeros of the rational function, f(x) =

x2+3x+2

x2+5x+4

4)Why is there no zero at x = 1?

5)Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.