x- 3Graph the exponential function g (x)=|To do this, plot two points on the graph of the function, and also draw the asymptote. Then click on thegraph-a-function button.Additionally, give the domain and range of the function using interval notation.6+:4:2-9--2-2-4-(0,0)ロ回(ロ.ロDomain:[0,0)のOUORange:00- 00图--..8

Given query is to find the graph of the function.

Answered: x- 3 Graph the exponential function g…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.1: Exponential Functions

Problem 46E

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A Population of Foxes A breeding group of foxes is introduced into a protected area, and the population growth follws a logistic pattern. After t years, the population of foxes is given by N=37.50.25+0.76t foxes. a. How many foxes were intorduced into the protected area? b. Make a graph of N versus t and explain in words how the populatoin of foxes increases with time. c. When will the fox population reach 100 individuals?
Strength of a Beam The strength S of a wooden beam of width x and depth y is given by the formula S=13.8xy2. A beam is to be cut from a log of diameter 10 in., as shown in the figure. a Express the strength S of this beam as a function of x only. b What is the domain of the function S? c Draw a graph of S. d What width will make the beam strongest?
Strength of a Beam The strength S of a wooden beam of x and depth y is given by formula 13.8xy2 . A beam is to be cut from a log of diameter 10 in., as shown in the figure. (a) Express strength S of this beam as a function of x only. (b) What is domain of the function S? (c) Draw a graph of S. (d) What width will make the beam the strongest?
The annual percentage yield (APY) of an investmentaccount is a representation ofthe actual interest rateearned on a compounding account. It is based on acompounding period of one year. Show that the APYof an account that compounds monthly can be foundwith the formula APY=(1+r12)121.
Reaction Time For certain decisions, the time it takes to respond is a logarithmic function of the number of choices faced. One model is, R=0.17+0.44logN where R is the reaction time in seconds and N is the number of choices. a.Draw a graph of R versus N. Include values of N from 1 to 10 choices. b.Using functional notation, express the reaction if there are seven choices, and then calculate that time. c.If the reaction is to be at most 0.5 second, how many choices can there be? d.If the number of choices increases by a factor of 10, what happens to the reaction time. e.Explain in practical terms what the concavity of graph means.
The function f(x)=5x is an exponential function with base______; f(2) =_______, f(0) =______, f(2) =_______, and f(6) =_______.
The function f graphed below is defined by a polynomial expression of degree 4. Use the graph of solve the exercises. To find a function value f(a) from the graph at f , we find the height of the graph above the x -axis x= . From the graph of f we see that f(3)= and f(1)= .The net change in f between x=1 and x=3 is f()f()= .
The function f graphed below is defined by a polynomial equation of degree 4 .use the graph to solve the exercises. (a) if f is increasing on an interval then the y-values of the point on the graph _______ as the x-values increase. From the graph of f we see that f is increasing on the interval _______and ________. (b) If f is decreasing on an interval, then the y-values of the points on the graph_____ as the x-values increases. From the graph of f we see that f is decreasing on the interval_____ and______.
The Rule of 72 This is a continuation of Exercise 14. Financial advisors sometimes use a rule of thumb known as Rule of 72 to get a rough estimate of the time it takes for an investment to double in value. For an investment that is compounded yearly at an interest rate of r%, this rule says it will take about 72/r years for the investment to double. In this calculation, r is the integer interest rate rather than a decimal. Thus, if the interest rate is 8%, we would use 72/8 rather than 72/0.08. For the remainder of this exercise, we will consider an investment that is compounded yearly at an interest rate of 13%. a. According to the Rule 72, how long will it take the investment to double in value? Parts b and c of this exercise will check to see how accurate this estimate is for this particular case. b. Using the answer you got from part a of this exercise, calculate the future value interest factor as defined in Exercise 14. Is it exactly the same as your answer to the part a of Exercise 14? c. If your initial investment was 5000, use your answer from part b to calculate the future value. Did your investment exactly double? Future Value Business and finance texts refer to the value of an investment at a future time as its future value. If an investment of P dollars is compounded yearly at an interest rate of r as a decimal, then the value of the investment after t years is given by FutureValue=P1+rt. In this formula, 1+rt is known as the future value interest factor, so the formula above can be written as FutureValue=PFuturevalueinterestfactor Financial officers normally calculate this or look it up in a table a. What future value interest factor will make an investment double? b. Say you have an investment that is compounded yearly at a rate of 9%. Find the future value interest factor for a 7-year investment. c. Use the results from part b to calculate the 7-year future value if your initial investment is 5000.

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