Practice Problems
#1 Describe the end behavior of the graph of
f (x) = 3x 4 – x 3 + x 2 + x – 1 using limits. Explain your reasoning using the leading term test.
f (x) = 3x 4 – x 3 + x 2 + x – 1 using limits. Explain your reasoning using the leading term test.
The degree is 4, and the leading coefficient is 3. Because the degree is even and the leading coefficient is positive,
#2 Describe the end behavior of the graph of
f (x) = –3x 2 + 2x 5 – x 3 using limits. Explain your reasoning using the leading term test.
f (x) = –3x 2 + 2x 5 – x 3 using limits. Explain your reasoning using the leading term test.
Write in standard form as f (x) = 2x 5 – x 3 – 3x 2. The degree is 5, and the leading coefficient is 2. Because the degree is odd and the leading coefficient is positive,
#3 Describe the end behavior of the graph of
f (x) = –2x 5 – 1 using limits. Explain your reasoning using the leading term test.
The degree is 5 and the leading coefficient is –2. Because the degree is odd and the leading coefficient is negative,
f (x) = –2x 5 – 1 using limits. Explain your reasoning using the leading term test.
The degree is 5 and the leading coefficient is –2. Because the degree is odd and the leading coefficient is negative,
#4 Describe the end behavior of the graph of
g (x) = –3x 5 + 6x 3 – 2 using limits. Explain your reasoning using the leading term test.
g (x) = –3x 5 + 6x 3 – 2 using limits. Explain your reasoning using the leading term test.
A. Because the degree is odd and the leading coefficient negative,
B. Because the degree is odd and the leading coefficient is negative
C. Because the degree is odd and the leading coefficient neg, lim
D. Because the degree is odd and the leading coefficient neg, lim