Sketch the curve of the given function analyzing the following. -12x²-4 y 1) Find all the intercepts of the function (1A) 2) Find all the Asymptotes clearly showing all steps (2A) and analyze the end behaviour near the asymptotes (4A) 3) Find the First Derivative (1A), find the critical values (1A) and analyze critical values using an interval table showing and stating the interval of increase, decrease, max and min (4C)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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Show all steps for each part of the curve sketching algorithm clearly, number
each section in your work. Label all points as coordinates. Find the coordinates
to the nearest tenths, where applicable.
Sketch the curve of the given function analyzing the following.
-12x²-4
y =
1) Find all the intercepts of the function (1A)
2) Find all the Asymptotes clearly showing all steps (2A) and analyze the end
behaviour near the asymptotes (4A)
3) Find the First Derivative (1A), find the critical values (1A) and analyze
critical values using an interval table showing and stating the interval of
increase, decrease, max and min (4C)
4) Find the Second Derivative (1A)
5) Find the inflection points (1T) and analyze concavity near the inflection
point using an interval chart (3T)
6) Graph the Function labeling all key points of the function based on the
analysis done above. (1T, 1C)
Transcribed Image Text:Show all steps for each part of the curve sketching algorithm clearly, number each section in your work. Label all points as coordinates. Find the coordinates to the nearest tenths, where applicable. Sketch the curve of the given function analyzing the following. -12x²-4 y = 1) Find all the intercepts of the function (1A) 2) Find all the Asymptotes clearly showing all steps (2A) and analyze the end behaviour near the asymptotes (4A) 3) Find the First Derivative (1A), find the critical values (1A) and analyze critical values using an interval table showing and stating the interval of increase, decrease, max and min (4C) 4) Find the Second Derivative (1A) 5) Find the inflection points (1T) and analyze concavity near the inflection point using an interval chart (3T) 6) Graph the Function labeling all key points of the function based on the analysis done above. (1T, 1C)
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