College Algebra (2212

Checkpoint Quiz 3.1

Name:

1. Let p(x) = −2(x + 3)(2x − 1)2.

(a) Find the y-intercept of the graph of y = p(x).

(b) Determine the end behavior of the graph of y = p(x).

(c) Determine the zeros of p and their multiplicities.

(d) Graph y = p(x).

2. Find a polynomial function p which satisfies the following criteria:

• as x →−∞, p(x) →∞ • The graph of y = p(x) touches the x-axis at (−1, 0) • p(0) = 3 • p(2) = 0 • as x →∞, p(x) →−∞