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Exponential Functions and their Graphs  Problem 5
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
All exponential decay functions, that is, if 0 < b < 1 , will have the same general shape and asymptotes as the parent function. To graph quickly, use rules of transformations. A number added or subtracted to x in the exponent will represent a horizontal shift, and a number added or subtracted to the exponential term will be a vertical shift. A number multiplied by the exponential term will cause a vertical stretch or compression, and if negative, will reflect the graph across the x axis. Don't forget to apply the horizontal and vertical shifts to the asymptote, as well! Verify your graph by plugging in an x,y pair. Remember that not all fractional bases represent decay only those where 0 < b < 1.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Sample Problems (8)
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Exponential Functions and their Graphs
Problem 1 15,442 viewsGraph:
f(x) = 2^{x} 
Exponential Functions and their Graphs
Problem 2 10,902 viewsGraph:
f(x) = (½)^{x} 
Exponential Functions and their Graphs
Problem 3 10,288 viewsGraph:
f(x) = 10^{x − 2} + 1 
Exponential Functions and their Graphs
Problem 4 2,129 views 
Exponential Functions and their Graphs
Problem 5 2,221 views 
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Problem 6 1,914 views 
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Problem 7 1,854 views 
Exponential Functions and their Graphs
Problem 8 1,860 views
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