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Standards/Math/South Carolina/8.F.5a

8.F.5a

8.F Functions
8.F.1
8.F.1a
8.F.1b
8.F.1c
8.F.1d
8.F.1e
8.F.2
8.F.3
8.F.3a
8.F.3b
8.F.3c
8.F.4
8.F.4a
8.F.4b
8.F.4c
8.F.4d
8.F.4e
8.F.5
8.F.5a
8.F.5b
8.F.5c

Analyze and describe attributes of graphs of functions (e.g., constant, increasing/decreasing, linear/nonlinear, maximum/minimum, discrete/continuous).

Example Problems
Let f(x)=x3−6x2+9x.
On which intervals is f increasing?
Let g(x)=x5+x4.
On which intervals is
g decreasing?
Let h(x)=x4−4x3+3.
On what interval is
h increasing?
Khan Academy Resources
Intro to slopeSlope formulaSlope reviewSlope-intercept form reviewSlope-intercept introSlope from two pointsSlope-intercept from two pointsSlope from graphInterpreting graphs of functionsSlope-intercept equation from graphSlope from equationWorked example: slope from graphConverting to slope-intercept formSlope of a line: negative slopeWorked example: slope from two pointsSlope of a horizontal lineSlope & direction of a linePositive & negative slopeSlope from equationInterpreting a graph exampleWorked examples: slope-intercept introIntro to slope
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