Checkpoint Quiz 4.1

Name:

1. Let r(x) = 4x − x2

x4 − 16×2 .

(a) Find the vertical asymptotes of the graph of y = r(x).

(b) Find the holes in the graph of y = r(x).

(c) Find the horizontal asymptotes of the graph of y = r(x).

Checkpoint Quiz 4.2

Name:

1. Use the six step procedure discussed in class to graph r(x) = 2×3 − x2 − 3x

x3 − 4x .

Checkpoint Quiz 4.3

Name:

1. Solve: 1 − x

x2 − 2x − 1 ≤ 0

2. Solve: 4x

x − 1 ≥

2x x + 3

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