1.   Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2.
    A. None of these are correct. B. Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2.
    C. Yes, because the function is defined at x = 2. D. Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2.
    Hint

  2.   Determine whether the function f(x) = is continuous at x = 1.
    A. No, because substituting
x = 1 results in a denominator of 0.
B. Yes, the inability to divide by 0 has no bearing on this problem.
    C. Yes, it is continuous at x = 1, but not at x = -1. D. None is correct.
    Hint

  3.   Describe the end behavior of this function:
    A. y 3 as x , y 3 as x
    B. y as x , y as x
    C. y -2 as x , y -2 as x
    D. y 0 as x , y 0 as x
    Hint

  4.   Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing.
    A. decreasing for all x
    B. increasing for x < 0 and decreasing for x > 0
    C. increasing for all x
    D. increasing for x < 0 and x > 0
    Hint

  5.   Determine the intervals on which the function f(x) = is increasing and the intervals on which the function is decreasing.
    A. decreasing for x < -1 and increasing for x > -1
    B. increasing for x < -1 and x > -1
    C. increasing for all x
    D. increasing for x < -1 and decreasing for x > -1
    Hint



Glencoe
The McGraw-Hill Companies