Evaluate exponential functions graph exponential functions use transformations to graph exponential functions use compound interest formulas an exponential function f with base b is defined by f or x bx y bx where b 0 b 1 and x is any real number. The graph of f x ã translated up 5.
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Transformations of exponential functions to graph an exponential function of the form y a c k b x h apply transformations to the base function yc x where c 0.
Transformations of exponential functions worksheet pdf. Worksheet 3 graphing exponential functions g x hour identify each transformation from the parent function of tell if the function is a decay or growth function. Exponential transformations worksheet 4 write the equation for the function that results from each transformation applied to the base function 𝑓 13 𝑥 a reflect in the x axis vertical reflection b stretch vertically by a factor of 3 c stretch horizontally by a factor of 2 4 d reflect horizontally stretch vertically by factor of 4. C 8 d 8.
F x log 1 4 x g x log 1 4 4x 5 writing transformations of graphs of functions. Any transformation of y bx is also an exponential function. Algebra 1 unit 4.
T i 5m za bdbe m zw ai jt mhi wisn nfmi2n qiktre 1 xaeluguekbvr7ad d29 h worksheet by kuta software llc kuta software infinite algebra 2 name graphing exponential functions date period sketch the graph of each function. The graph of x 2x reflected across the x axis. Identify the asymptote of each graph.
8 b 8. Translations of exponential functions consider the exponential function. Of functions on the same axes by applying the appropriate transformations.
T q zagl8ly or7imgvhmtmsv 3reefsnesrfvne ed0. The equation for the line of an asymptote for a function in the form of f x abx is always y. Transformations of exponential functions worksheet.
Exponential functions notes 3 asymptotes an asymptote is a line that an exponential graph gets closer and closer to but never touches or crosses. î g x 5 2 write the function for each graph described below. Each of the parameters a b h and k is associated with a particular transformation.
F x log 2 x g x 3 log 2 x 6.
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