Section 4.1 Question: Find the vertex of the parabola y  =  –3x2 – 6x – 1. Write your answer as an ordered pair (x, y). Quiz 5.6

 Section 4.2Quiz 5.7 Question: For the polynomial (x + 6)2(x – 6), list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept. –6, multiplicity 1, crosses the x-axis; 6, multiplicity 2, touches the x-axis 6, multiplicity 1, touches the x-axis; –6, multiplicity 2, crosses the x-axis 6, multiplicity 1, crosses the x-axis; –6, multiplicity 2, touches the x-axis –6, multiplicity 1, touches the x-axis; 6, multiplicity 2, crosses the x-axis Variation: For the polynomial –3(x + 1)(x – 1)2, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept. 1, multiplicity 1, touches the x-axis; –1, multiplicity 2, crosses the x-axis –1, multiplicity 1, crosses the x-axis; 1, multiplicity 2, touches the x-axis –1, multiplicity 1, touches the x-axis; 1, multiplicity 2, crosses the x-axis 1, multiplicity 1, crosses the x-axis; –1, multiplicity 2, touches the x-axis

 Section 4.2Quiz 5.8 Question: Give the possible values for the degree of the polynomial and the sign (+ or –) of the leading coefficient (xn term). Degree is odd (1, 3, 5, etc.); leading coefficient is positive. Degree is odd (1, 3, 5, etc.); leading coefficient is negative. Degree is even (2, 4, 6, etc.); leading coefficient is positive. Degree is even (2, 4, 6, etc.); leading coefficient is negative. Variations: Give the possible values for the degree of the polynomial and the sign (+ or –) of the leading coefficient (xn term). Give the possible values for the degree of the polynomial and the sign (+ or –) of the leading coefficient (xn term). Give the possible values for the degree of the polynomial and the sign (+ or –) of the leading coefficient (xn term). Section 4.3
Quiz 6.1
Question: Identify the vertical asymptotes for the following function:
 f (x)  = x – 7x2 + x

x = –1
x = 0
none
x = –7
x = –1, x = 0
x = 7
x = 1
x = 0, x = 1

Variations: Identify the vertical asymptotes for the following function:
 f (x)  = x + 4x2 – x

x = 0, x = 1
x = –1
x = –1, x = 0
x = 1
x = 0
x = 4
none
x = –4

Identify the vertical asymptotes for the following function:
 f (x)  = x + 5x2 + 4

x = –5
x = –2
x = 5
x = 2
none
x = –2, x = 2

Identify the vertical asymptotes for the following function:
 f (x)  = x – 6x2 – 1

x = –1, x = 1
x = –6
x = –1
x = 1
none
x = 6

Section 4.3
Quiz 6.2
Question: Write the equation for the horizontal or oblique asymptote of the following function. If there is no horizontal or oblique asymptote, enter none
 6x3 – 5x2 – 52x2 – x + 7

Variations: Write the equation for the horizontal or oblique asymptote of the following function. If there is no horizontal or oblique asymptote, enter none
 –6x2 + 7x + 72x2 – x – 7

Write the equation for the horizontal or oblique asymptote of the following function. If there is no horizontal or oblique asymptote, enter none
 –6x2 – x + 72x3 – x2 – 5

Write the equation for the horizontal or oblique asymptote of the following function. If there is no horizontal or oblique asymptote, enter none
 –6x4 – x3 + 72x2 – x – 5

Question 5   Fill in the Blank (1 points)
Section 4.5
Quiz 6.3
Question: Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2  <  x  ≤ 5 OR x  ≥  8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].
 x(x + 4)(x + 1) ≤  0

Variation: Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2  <  x  ≤ 5 OR x  ≥  8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].
 x(x + 4)x + 1 ≥  0

Section 4.5
Quiz 6.4
Question: Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].
 x (x – 3)3  >  0

Variation: Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].
 (x – 1) (x – 3)3  ≤  0

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].
 (x – 1) (x – 3)2  ≥  0

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].
 x (x – 3)2  ≤  0

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].
 (x – 3) (x – 1)2  >  0

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].
 (x – 1) x2  <  0