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-S Lj WileyPLUS X C Chegg Study | Guided Solut 0 |edugenwileyplus.co O | edugenwileyplus.com, edugen/student/mainfr.uni ! HW13 TBA (b) Find a possible formula for f if f is exponential. Chapter 11, Section 11.1, Question 001 Chapter 11, Section uestion 005 Chapter 11 Section 111, Question 008 ion Click here to enter or edit your answer f (r) 012 Section 11.1, Question 014 Chapter 11, Section Chapter 11, Section (c) Find a possible formula for f if f is a power function 226 Chapter 11 Section ick here to enter edit your answer Chapter 11, Section 11.1,Question 057 Chapter 11 Section Skill Refresher 5003 Chapter f (x) 11.3, Question 019 1 Chapter 1 L section Section estion 024 License Agreement I Privacy Policy2000-2017 John Wiley & Sons, Inc. All Rights Reserved. A Division of John wiley &Sons; Inc Version 4.24.0.3 O Type here to search 7:13 PM 7/24/2017

Solution

(b)

general form of exponential function is f(x)=ab^x

f(-1)=11_/4

=>ab^-1=11_/4

=>a=(11_/4)b

f(2)=176

=>ab²=176

=>(11_/4)b*b²=176

=>b³=176*4_/11

=>b³=64

=>b=4

a=(11_/4)b , b=4

=>a=(11_/4)4

=>a=11

an exponential function is  f(x)=11* 4^x

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general form of power function is f(x)=a*x^p

f(-1)=11_/4

a*(-1)^p=11_/4

f(2)=176

a*(2)^p=176

=>(a*(2)^p)_/(a*(-1)^p) =176_/(11/4)

=>(-2)^p =64

=>(-2)^p =(-2)⁶

=>p=6

a*(2)^p=176 ,p=6

a*(2)⁶=176

a=176_/64

a=11_/4

a power function is f(x)=(11_/4)*x⁶