3.5 Practice

Question 1

Find the limit as x approaches ∞ of

f(x) = (5x + 6) / (3x - 7)

Answer 1

5/3

Question 2

Find the limit as x approaches ∞ of

f(x) = -3x / √(36x^2 + 5)

Answer 2

-1/2

Question 3

Find the limit as x approaches ∞ of

g(x) = (-4x - 7) / (6x^2 + 4)

Answer 3

0

Question 4

Find all asymptotes of

h(x) = (-5x - 1) / √(9x^2 - 6x)

Answer 4

y = -5/3
y = 5/3
x = 0
x = 2/3

Question 5

Sketch the graph of 
f(x) = x^2 / (x^2 - 4)
by identifying:
intercepts
asymptotes (horiz and vert)
increasing intervals and decreasing intervals
extrema
concave up and down intervals
POI

Answer 5

See calc