The document contains instructions for a 6 step math test involving the function f(x)=2x^3-16x^2-4. The steps include using long division to find the slant asymptote, factoring to find the vertical asymptote, finding x-intercepts and y-intercepts, sketching the graph labeling asymptotes and intercepts, stating the domain and range, and calculating limits as x approaches values from the left and right.

1. Math 4R TEST 3A Name:____________________
f (x)=
2x
3
−16
x
2
−4
STEP 1)
Use Long Division to find the Slant Asymptote of f(x):

2. Math 4R TEST 3A Name:____________________
f (x)=
2x
3
−16
x
2
−4
STEP 2)
Factor and Reduce completely to find the Vertical Asymptote of f(x):

3. Math 4R TEST 3A Name:____________________
f (x)=
2x
3
−16
x
2
−4
STEP 3)
Find all X-Intercepts and Y-Intercepts of f(x):

4. Math 4R TEST 3A Name:____________________
f (x)=
2x
3
−16
x
2
−4
STEP 4)
Make a complete sketch of f(x) labeling all Asymptotes and Intercepts:

5. Math 4R TEST 3A Name:____________________
f (x)=
2x
3
−16
x
2
−4
STEP 5)
State the Domain and Range of f(x):

6. Math 4R TEST 3A Name:____________________
f (x)=
2x
3
−16
x
2
−4
STEP 6)
State the following limits with respect to your graph of f(x):
6a) lim
x →−∞
f (x) = ?
6b) lim
x→∞
f (x) = ?
6c) lim
x →−2
f (x) from the left = ?
6d) lim
x →−2
f (x) from the right = ?
6e) lim
x→ 2
f (x) from the left = ?
6f) lim
x→ 2
f (x) from the right = ?