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Exponential and Logarithmic Functions Homework Help Resources


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Students will explore function notation and transformational graphing of trigonometric functions.
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Students are given the definitions of the six trigonometric functions and how they relate to the unit circle. Then, students are asked to use the unit circle to find the values of the functions at various angle measures to find patterns for each function.
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The main objective of the activity is to find an approximation for the value of the mathematical constant e and to apply it to exponential growth and decay problems. To accomplish this, students are asked to search for the base, b, that defines a function f(x)=bx with the property that at any point on the graph, the slope of the tangent line is equal to f(x). The result is approximating the value of e - Euler's number and the base of the natural logarithms.
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In this activity, students will compare periodic and continuous compounding and apply continuous compounding to a variety of problem situations.
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In this activity, students will compare periodic and continuous compounding and apply continuous compounding to a variety of problem situations.
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In this activity, a variety of mathematical functions and real world applications of functions are explored to help students learn the concepts of domain and range, as well as how the context of a problem impacts domain and range. Five additional problems are provided on the corresponding student worksheet for use as either further exploration or homework problems.
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In this activity, a variety of mathematical functions and real world applications of functions are explored to help students learn the concepts of domain and range, as well as how the context of a problem impacts domain and range. Five additional problems are provided on the corresponding student worksheet for use as either further exploration or homework problems.
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In this activity, students will explore logarithmic equations relating to sound intensity and pH.
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Students systematically explore the effect of the coefficients on the graph of sine or cosine functions. Terminology describing the graph's amplitude, period, frequency, phase shift, baseline, and vertical offset is introduced, then reinforced as the student calculates these values directly from the graph using the handheld's geometry and measurement tools.
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In this activity, students will use a temperature probe to generate a cooling curve and develop an appropriate regression equation to model collected data.
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