Sketch a graph of the following function by the guidelines: 1. y = 4x3 – 6x² – 24x 2. y = 2x3 + 3x² – 12x a. The behavior of y when x becomes very large positive or very large negative. b. The first derivative c. The increasing intervals and decreasing intervals d. The critical points and max points or min points e. The second derivative f. The reflection points g. The concave upward intervals and concave downward intervals h. Draw the curve sketching

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Sketch a graph of the following function by the guidelines:
1. y = 4x3 – 6x2 – 24x
2. y = 2x + 3x² – 12x
a. The behavior of y when x becomes very large positive or very large negative.
b. The first derivative
c. The increasing intervals and decreasing intervals
d. The critical points and max points or min points
e. The second derivative
с.
f. The reflection points
g. The concave upward intervals and concave downward intervals
h. Draw the curve sketching
Transcribed Image Text:Sketch a graph of the following function by the guidelines: 1. y = 4x3 – 6x2 – 24x 2. y = 2x + 3x² – 12x a. The behavior of y when x becomes very large positive or very large negative. b. The first derivative c. The increasing intervals and decreasing intervals d. The critical points and max points or min points e. The second derivative с. f. The reflection points g. The concave upward intervals and concave downward intervals h. Draw the curve sketching
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