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which of the following terms completes the sentence below?
a sign chart helps you record data about a function’s values around its ___ and ___ asymptotes.
a. zeros; horizontal
b. ones; vertical
c. fractions; horizontal
d. zeros; vertical
A sign chart is used to analyze a function's behavior. Zeros (x - intercepts) and vertical asymptotes are key points where a function's sign (positive/negative) can change. Horizontal asymptotes describe end - behavior and don't affect the sign around specific points like zeros and vertical asymptotes. Option B is incorrect as "ones" is not relevant. Option A has horizontal asymptotes which are not used in sign charts for this purpose. Option C has "fractions" which is incorrect. So the correct terms are zeros and vertical asymptotes.
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D. zeros; vertical