1 MAC1105, College Algebra Study Questions for Common Final ...

76. For each of the following graphs of polynomial functions, determine (assuming the arms extend
indefinitely in the indicated direction):
a. The number of turning points
b. The number of x-intercepts
c. The sign of the leading term
d. The minimum degree of the polynomial
77. In each part, construct a polynomial function with the indicated characteristics.
a. Crosses the x-axis at least three times
b. Crosses the x-axis at -1, 3, and 10
c. Has a y-intercept of 4 and degree of 3
d. Has a y-intercept of -4 and degree of 5
78. Which of the following statements are true about the graph of the polynomial function:
F(x)= + b + cx +d
a. It intersects the vertical axis at one and only one point.
b. It intersects the x-axis in at most three points.
c. It intersects the x-axis at least once.
d. The vertical intercept is positive.
e. As → ∞, → ∞.
f. It has at most two turns.
79. Let f(x) = 3 + x and g(x) = - 1.
a. Construct the following functions.
j(x) = f(x) + g(x), k(x) = f(x) – g(x), m(x) = f(x) ∙ g(x)
b. Evaluate: j(2), k(3), and m(-1).
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