Mem quiz Flashcards
What are the zeros of f(x)?
The values of x for which f(x) = 0.
What does the intersection of f(x) and g(x) represent?
The points where f(x) = g(x).
What are vertical asymptotes of f(x)?
The values of x where f(x) approaches infinity.
What are the two forms that should never appear when evaluating limits on the FRQ portion of the exam?
1) lim f(x) as x approaches a
2) lim f(x) as x approaches infinity.
What should you do first when evaluating limits?
Substitute the value of a into f(x).
What if the numerator is infinity?
The limit may be infinity.
What if the denominator is infinity?
The limit may be 0.
What if the numerator is 0?
The limit may be 0.
What if the denominator is 0?
The limit is undefined or may approach infinity.
What does f(a) generate?
The y-value of the function at x = a.
What does f’(a) generate?
The slope of the tangent line at x = a.
What is the definition of a derivative for f(x)?
The instantaneous rate of change of f(x) at x.
What is the average rate of change of f(x) on [a,b]?
The change in f(x) divided by the change in x over the interval [a,b].
What is the equation of the tangent line f(x) at x = a?
y = f(a) + f’(a)(x - a).
