Characteristics Of Exponential Functions Worksheet Exponential Functions Date Period Evaluate each function at the given value 1 f x Create your own worksheets like this one with Infinite Algebra 1 Free trial available at KutaSoftware Title Exponential Functions ks ia1 Author Mike Created Date
An exponential function with the form f x bx f x b x b 0 b 0 b 1 b 1 has these characteristics one to one function horizontal asymptote y 0 y 0 domain range 0 0 x intercept none y intercept 0 1 0 1 increasing if b 1 b 1 decreasing if b 1 b 1 KEY FEATURES OF EXPONENTIAL FUNCTIONS The student is expected to graph exponential functions that model A growth and decay and identify key features including y intercept and asymptote in mathematical and real world problems TELL ME MORE
Characteristics Of Exponential Functions Worksheet
Characteristics Of Exponential Functions Worksheet
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Exponential Functions Worksheet Answers
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To get a sense of the behavior of exponential decay we can create a table of values for a function of the form f x bx whose base is between zero and one We ll use the function g x 1 2 x Observe how the output values in Table 2 change as the input increases by 1 Table 2 A function that models exponential growth grows by a rate proportional to the amount present For any real number x and any positive real numbers a and b such that b 1 an exponential growth function has the form f x a b x where a a is the initial or starting value of the function b
Exponential Functions Worksheet 4 4 Characteristics of an Exponential Function Acc Math I Graph Then find each of the following 1 f x 4 x 1 x y a Describe the transformations to the parent function b What is the asymptote c What is the domain and range d What is the interval of increase decrease 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 Note Any transformation of y bx is also an exponential function Example 1 Determine which functions are exponential functions For those that are not explain why they are not exponential functions
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5 02 Partial Answers Characteristics Of Exponential Functions F IF 4
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Chapter 7 8 Exponential Logarithmic Functions 1 7 1 Characteristics of Exponential Functions An exponential function is a function of the form ycx Ex 1 Graph y 2x using table of values Then state its domain range and asymptote Domain Range Asymptotes Y intercept An exponential function is said to be T q zAGl8lY Or7iMgvhMtMsv 3rEefsneSrFvne Ed0 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 1
Definition Exponential Functions For any real number x x an exponential function is a function with the form f x abx 4 1 1 4 1 1 f x a b x where a a is a non zero real number called the initial value and b b is any positive real number such that b 1 b 1 The domain of f f is all real numbers Describe the Domain i Describe the Domain Describe the Range Describe Intervals of Increase Describe Intervals of Decrease As x determine f x As x determine f x vii Determine the x intercept viii Determine the y intercept ix Horizontal Asymptote ii Describe the Range iii Describe Intervals of Increase
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Characteristics Of Exponential Functions Worksheet - Characteristics of Exponential Functions The graphs of functions of the form y bx have certain characteristics in common Exponential functions are one to one functions graph crosses the y axis at 0 1 when b 1 the graph increases when 0 b 1 the graph decreases the domain is all real numbers