Math 110 Exam #2
To find horizontal asymptotes - correct answer take the limit
as x approaches -∞ and ∞ (to do this look at dominant powers on top and bottom
and remember rules)
Horizontal asymptote rule : If the powers are the same - correct answer
divide the coefficients
Horizontal asymptote rule : If the power on the bottom is bigger - correct answer
the H.A. is y=0
Horizontal asymptote rule : If the power on top is bigger - correct answer
the H.A. = DNE (there is no H.A.)
To find Vertical Asymptotes - correct answer 1.) Simplify the
function to cross out common factors
2.) After you simplify, set the denominator = 0 and solve
From the First Derivative, f'(x) - correct answer • Critical
Numbers
• Increasing / Decreasing
• Relative Extrema ( Relative Max / Relative Min )
Critical Numbers must satisfy what 2 criteria? - correct answer
• f'(x) = 0 or f'(x) is undefined
↳In other words, set top and bottom of derivative equal to 0
• Critical Numbers must be in the domain of f(x)
To find Increasing / Decreasing - correct answer Make a first
derivative number line
