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CAT HomeworkName: ___Graphing Exponentials and Logarithmic FunctionsPeriod: ___ Date: ___Graph the function and analyze it for domain, range, increasing or decreasing behavior, asymptotes and end
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01
Determine the function you want to graph, whether it is an exponential or a logarithmic function.
02
Choose appropriate scales for the x-axis and y-axis based on the values of the function.
03
Plot several points on the graph by substituting different values of x into the function and solving for y.
04
Connect the points with a smooth curve to show the overall shape of the function.
05
Label the axes and provide a title for the graph to make it clear and understandable.

Who needs graphing exponential and log?

01
Students studying algebra or precalculus, as graphing exponential and logarithmic functions are common topics in these courses.
02
Mathematicians and scientists who analyze data that can be modeled by exponential or logarithmic functions.
03
Engineers and researchers who use exponential and logarithmic functions in various applications, such as population growth, radioactive decay, or signal processing.
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Graphing exponential and logarithmic functions involves plotting their values on a coordinate system to visualize their relationships, growth patterns, and behaviors, typically using a base such as e or 10.
Typically, students, mathematicians, and data analysts are required to graph exponential and logarithmic functions as part of their studies or analyses in mathematics, statistics, or scientific research.
To fill out a graph for exponential and logarithmic functions, calculate a range of values for x, compute the corresponding y values using the function's formula, and then plot the points on a Cartesian plane.
The purpose of graphing exponential and logarithmic functions is to analyze their characteristics, identify trends, and understand their applications in various fields such as biology, finance, and physics.
Information that must be reported includes the scale of the graph, axes labels, the specific exponential or logarithmic equations used, key points, and insights drawn from the graph.
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