Pre Calculus Problems and Solutions (Part

Problem 1 :

Determine the limit.

Solution :

Problem 2 :

List the interval(s) of continuity for the function

A)  (-∞, -3), (-3, -2), (-2, ∞)

B)  (-∞, -3), (-3, ∞)

C)  (-∞, -3), (-3, -2), (-2, 0), (0, ∞)

D)  (-∞, -2), (-2, ∞)

E)  (-3, -2) only

Solution :

Problem 3 :

Is the function continuous at x = 2?

Solution :

Problem 4 :

Which ONE choice below {A, B, C, D, E} accurately describes the behavior of the function f(x) at x = 2?

A)  f is continuous at x = 2.

B)  f has a removable discontinuity at x = 2.

C)  f has an infinite discontinuity at x = 2.

D)  f has a jump discontinuity at x = 2.

E)  f has both an infinite and a removable discontinuity at x = 2.

Solution :

Problem 5 :

Find a and d for the function f(x) = a cos (x) + d such that the graph of f matches the figure.

Solution :

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