Question 1

x = 3

Accepted Answer

given f(x) = (x+3)/(x²-9), which of the following is a complete list of all the values of x where if has a nonremovable discontinuity?

Question 2

lim x→1⁻ g(x) = g(1)

Accepted Answer

if g is defined on the interval [0, 1] and is continuous at 1, which of the following must be true?

Question 3

there is at least one c in [0, 1] such that h(c) = 1.5.

Accepted Answer

given h(x) = x² + 1, h(0) = 1, and h(1) = 2, which of the following conclusions is valid according to the intermediate value theorem?

Question 4

See image

Accepted Answer

given the graph of h below, which of the following statements are true?

Question 5

See image

Accepted Answer

Question 6

lim x→2⁺ h(x) = -∞

Accepted Answer

[up to the left, down to the right, vertical asymptote at x = 2]

Question 7

k does not have a vertical asymptote.

Accepted Answer

given k(x) = (x²-4)/(x-2), which of the following statements is true?

Question 8

-8/7

Accepted Answer

find lim x→∞ (-8x+1)/(√(49²-8x)).

Question 9

See image

Accepted Answer

which of the following is most likely to be a horizontal asymptote of the graph below?

Question 10

See image

Accepted Answer

Question 11

y = 0

Accepted Answer

[horizontal asymptotes at y = 0 and 7 = -1/2; vertical asymptotoes at x = 5 and x = 0]

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