For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relativ minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. h(x) = x²³ - 12x Relative minimum point(s): Relative maximum point(s): Increasing over the interval(s): Decreasing over the interval(s): Coordinates of the inflection point(s): Concave up: Concave down: Graph of function:

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative
minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of
inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph.
h(x) = x³ - 12x
Relative minimum point(s):
Relative maximum point(s):
Increasing over the interval(s):
Decreasing over the interval(s):
Coordinates of the inflection point(s):
Concave up:
Concave down:
Graph of function:
Transcribed Image Text:For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. h(x) = x³ - 12x Relative minimum point(s): Relative maximum point(s): Increasing over the interval(s): Decreasing over the interval(s): Coordinates of the inflection point(s): Concave up: Concave down: Graph of function:
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