A vertical asymptote is a line that the graph of the function does not cross.
If: $\lim_{x \to a} 3 cot (1/2 x)-4 =$ +/- ∞
then the line x = a is a vertical asymptote.
For x = 0:
f ( 0 ) = 3 * cot 0 - 4 = ∞
For x = +/- 2 π :
f ( 2 π ) = 3 * cot π - 4 = - ∞
Answer:
A ) x = 0 and C ) x = +/- 2π

5 0

4 years ago

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What is the equation of the line that passes through the point (-4,4)(−4,4) and has a slope of -3−3?

drek231 [11]

Answer:

Step-by-step explanation:

The equation of the line that passes through the point (x₁, y₁) and has a slope of m in point-slope form is: y - y₁ = m(x - x₁)

m = -3

(-4, 4) ⇒ x₁ = -4, y₁ = 4

Therefore:

y - 4 = -3(x - (-4))

y - 4 = -3(x + 4) ← point-slope form

y - 4 = -3x - 12 {add 4 t both sides}

y = -3x - 8 ← slope intercept form

5 0

3 years ago

Ed had a piece of rope 6 3/4 ft long. He cut off 38 ft. How much rope does Ed have left? Enter your answer in the box as a mixed

kaheart [24]

the answer is 31.25 because 38 - 6 = 32.

32-3/4=31.25

6 0

4 years ago