Section 4.1  Question: 
Find the vertex of the parabola y = –3x^{2} – 6x – 1. Write your answer as an ordered pair (x, y). 

Quiz 5.6 
Section 4.2 Quiz 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 xaxis at each xintercept. 

–6, multiplicity 1, crosses the xaxis; 6, multiplicity 2, touches the xaxis 6, multiplicity 1, touches the xaxis; –6, multiplicity 2, crosses the xaxis 6, multiplicity 1, crosses the xaxis; –6, multiplicity 2, touches the xaxis –6, multiplicity 1, touches the xaxis; 6, multiplicity 2, crosses the xaxis 

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 xaxis at each xintercept. 

1, multiplicity 1, touches the xaxis; –1, multiplicity 2, crosses the xaxis –1, multiplicity 1, crosses the xaxis; 1, multiplicity 2, touches the xaxis –1, multiplicity 1, touches the xaxis; 1, multiplicity 2, crosses the xaxis 1, multiplicity 1, crosses the xaxis; –1, multiplicity 2, touches the xaxis 
Section 4.2 Quiz 5.8 
Question: 
Give the possible values for the degree of the polynomial and the sign (+ or –) of the leading coefficient (x^{n} 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 (x^{n} term). 

Give the possible values for the degree of the polynomial and the sign (+ or –) of the leading coefficient (x^{n} term). 

Give the possible values for the degree of the polynomial and the sign (+ or –) of the leading coefficient (x^{n} term). 
Section 4.3 Quiz 6.1 
Question: 
Identify the vertical asymptotes for the following function:


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:


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:


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

Identify the vertical asymptotes for the following function:


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


Variations: 
Write the equation for the horizontal or oblique asymptote of the following function. If there is no horizontal or oblique asymptote, enter none


Write the equation for the horizontal or oblique asymptote of the following function. If there is no horizontal or oblique asymptote, enter none


Write the equation for the horizontal or oblique asymptote of the following function. If there is no horizontal or oblique asymptote, enter none


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].


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].


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].


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].


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].


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].


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].


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].

