F.1.ATMM.6
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude
Example Problems
Find the midline equation of the following:
Find the amplitude of the following function:
Find the amplitude of the following function:
Khan Academy ResourcesMidline, amplitude, and period reviewSymmetry of algebraic modelsGraph sinusoidal functionsGraphs of logarithmic functionsAmplitude of sinusoidal functions from equationGraph sinusoidal functions: phase shiftConstruct sinusoidal functionsPeriod of sinusoidal functions from equationGraphs of exponential functionsGraphing exponential growth & decayPeriodicity of algebraic modelsEnd behavior of algebraic modelsGraphs of exponential growthModeling with sinusoidal functions: phase shiftAmplitude of sinusoidal functions from graphMidline of sinusoidal functions from equationPeriod of sinusoidal functions from graphMidline of sinusoidal functions from graphInterpreting trigonometric graphs in contextModeling with sinusoidal functionsGraph of y=sin(x)Intersection points of y=sin(x) and y=cos(x)Amplitude & period of sinusoidal functions from equationTransforming sinusoidal graphs: vertical & horizontal stretchesTransforming sinusoidal graphs: vertical stretch & horizontal reflectionIntro to exponential functionsExponential function graphTrig word problem: modeling annual temperatureTrig word problem: length of day (phase shift)Transforming exponential graphsGraphing exponential growth & decayPeriodicity of algebraic modelsFeatures of sinusoidal functionsGraphs of exponential growthEnd behavior of algebraic modelsSymmetry of algebraic modelsGraphing logarithmic functions (example 1)Example: Graphing y=3⋅sin(½⋅x)-2Example: Graphing y=-cos(π⋅x)+1.5Transforming exponential graphs (example 2)Graph of y=tan(x)Graphing exponential functionsTrig word problem: modeling daily temperatureGraphical relationship between 2ˣ and log₂(x)Sinusoidal function from graphGraphing logarithmic functions (example 2)

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