# Math 141 Algebra with ApplicationsName:Homework 6A: Exponential and Logarithmic Modeling (Sections 5.4, 6.1, 6.2)**Show all work for full credit and box in your final answers.**1.Consider the graph of g(x) = 4(1.062) below for the following questions:154a. Write the domain and range of g(x) in interval notation.rouSUDomain:10+Range:5+b. As xo,f(x)->.o,f (x)-As x-10-50510Soual boavexc. Write the equation of the horizontal asymptote.d. State the growth/decay factor and growth/decay rate:000Growth/decay rate in percent:Growth/decay factor:Use the rules of logarithms to solve the following for the exact value of x (no decimal answers).(Check your answer2.by plugging your x-value back into the original equation.)b. 3log(2-3w)+2 = 5a. 2+3e5x 5u tevbe rantitonFall 2019

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10 views help_outlineImage TranscriptioncloseMath 141 Algebra with Applications Name: Homework 6A: Exponential and Logarithmic Modeling (Sections 5.4, 6.1, 6.2) **Show all work for full credit and box in your final answers.** 1. Consider the graph of g(x) = 4(1.062) below for the following questions: 154 a. Write the domain and range of g(x) in interval notation. rou SU Domain: 10+ Range: 5+ b. As xo,f(x)->. o,f (x)- As x -10 -5 0 5 10 Soual boave x c. Write the equation of the horizontal asymptote. d. State the growth/decay factor and growth/decay rate: 000 Growth/decay rate in percent: Growth/decay factor: Use the rules of logarithms to solve the following for the exact value of x (no decimal answers). (Check your answer 2. by plugging your x-value back into the original equation.) b. 3log(2-3w)+2 = 5 a. 2+3e5x 5 u tevbe r antiton Fall 2019 fullscreen
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Step 1

x can take any value so domain = all real numbers.

y can have values only greater than 0. So, range= y>0 [y=0 is the asymptote]

Range= (0,infinity)

Step 2

As x-> infinity the graph is moving upwards, so f(x)-> infinity.

As x-> - infinity the graph is moving close to y=0, so f(x)-> 0

f(x) -> 0

Step 3

c) x axis is the horizontal asymptote. Equation of x ax...

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