Math 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

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Math 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
Transcribed Image Text:Math 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
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