QUIZ:  Precalculus Chapter of Larson, et al. Calculus

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Problem 1.    Find the center and the radius of the circle defined by the equation:

x2 - 6x + y2 + 8y = 0

a)    r = 34,  C (2,0)                            b)    r = 3,  C (4, -3)

c)    r = 2.73,  C (6, -8)                      d)    r = 5,  C (3, -4)

Problem 2.  Find the equation of the line through the point (1,3) and perpendicular to the line 

x + y = 0          

a)    y = 2x - 3                            b)      y = 3

c)    y = x + 2                             d)    y - x = -2

Problem 3.    Which of the following is best represented by the number line graph below?

a)    | x-1 | < 5                             b)      | 2x-1 | < 10 

c)      | 1-x | > 5                            d)    | 1-x | < 2

Problem 4.  Which of the following functions is even?

    I.  f(x) = x3         II.  f(x) = x4 + 2x2 + 1        III.  f(x) = x(x3 - 4)

a)  I            b)  II            c)  III            d)    None of the above

Problem 5.   Given the system of equations:        x2 + y = 4
                                                                          x   -  y = 2

The solution for this system of equations is:

a)  a single point (2,0)                            b)  a straight line

c)    the empty set                                   d)    exactly two points