Part 3 | Test 5 | Time: 1 hour |
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Answer: It cannot cross its vertical asymptote because the graph would be undefined at that value of x.
cross its horizontal asymptote?
Answer: It crosses its horizontal asymptote y=3 at x=-8/5.
estimate the value of the function when x=20,000,000,000,000,000 using its oblique (slant) asymptote. Will this estimate be more or less than the actual value of the function at x=20,000,000,000,000,000? Why?
Answer: Using the slant asymptote y=2x+1, we obtain the estimate
which will be less than the actual value of of the function because to get the actual value the remainder is subtracted from the asymptote.
Answer: .
Answer: The domain of g(x) is x>4, or in interval notation, .
The range of g(x) is all real numbers, or in interval notation,
.
The domain of is all real numbers, or in interval
notation, .
The range of is y>4, or in interval notation,
.
Answer:
Answer: They are equal only when x>0.
Answer: They are equal only when x>0.
Answer: They are equal only when x=1, or .
Answer: They are equal only when x=1, or when .
Answer: x=0, and .
Answer:
Answer: It will take approximately 9 years and 10 months, or 9.8 years.
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