Algebra Review

Question 1

You can find a vertical asymptote of a rational function by

Answer 1

finding the zeroes of the denominator

Question 2

x is a vertical axymptote if

Answer 2

it zeroes the denominator but not the numerator

Question 3

For rational functions, you can determine the horizontal asymptote by

Answer 3

comparing the degree of the numerator & denominator

Question 4

If you are comparing degrees of numerator and denominator of a rational function, the horizontal asymptote is the x-axis when

Answer 4

the degree of the denominator is bigger than the degree of the numerator

Question 5

If you are comparing degrees of numerator and denominator of a rational function, the horizontal asymptote is the ratio when

Answer 5

the degree of the denominator == the degree of the numerator

Question 6

If you are comparing degrees of numerator and denominator of a rational function, there is no horizontal asymptote when

Answer 6

the degree of the numerator is larger than the degree of the denominator; there is a slant asymptote

Question 7

ln(x ∙ y)

Answer 7

ln(x) + ln(y)

Question 8

ln(x / y)

Answer 8

ln(x) - ln(y)

Question 9

ln(x^y)

Answer 9

y ∙ ln(x)

Question 10

ln(1)

Answer 10

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