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

Question
Asked Oct 8, 2019
10 views
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
help_outline

Image Transcriptionclose

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

fullscreen
check_circle

Expert Answer

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]

Answer: Domain = (-infinity,infinity)

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

Answer(b): f(x) - > infinity

f(x) -> 0 

Step 3

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

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Related Algebra Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Consider the following statement: Mary wants to (spend, at least spend, at most spend) 20 minutes a ...

A: Consider the given informationMary wants to (spend, at least spend, at most spend) 20 minutes a day ...

question_answer

Q: lady wants to make an open-top box for packing baked goods by cutting equal squares from each corner...

A: Let x be the side of the equal squares cutting by the lady from each corner of the cardboard of 11 i...

question_answer

Q: Maine lobstermen netted a record catch of 75,298,328 pounds of lobsters in 2006, which was a 5.2% in...

A: Given:Maine lobstermen netted a record catch of 75,298,328 pounds of lobster in 2006, which was a 5....

question_answer

Q: X+Z=4 Y=2 4X+Z=7 Solve the system of linear equations

A: To find the values of X, Y and Z by solving the linear system. Note that Y is already solved for : Y...

question_answer

Q: Find a formula for the exponential function that satisfies g(0)=13 and g(-2)=(13/4).    Written in y...

A: let the given function is y = a b^x . where two initial condition are given which is g (0) = 13 and ...

question_answer

Q: Write in terms of simpler forms  logbM8

A: Given, 

question_answer

Q: -37+z= -54

A: -37+z= -54 We have to add 37 to both sides-37+37+z= -54 +37

question_answer

Q: math  Divide. Give the quotient and remainder. 161 divieded by 3

A: Solution

question_answer

Q: How many different​ 10-letter words​ (real or​ imaginary) can be formed from the following​ letters?...

A: To determine the number of words are formed by the given letters.