The graph of an exponential function is shown in the figure below.The horizontal asymptote is shown as a dashed line.Find the domain and the range.-64.6Write your answers as inequalities, using x or y as appropriate.Or, you may instead click on "Empty set" or "All reals" as the answer.(a)domain:O

To find the domain and range of the exponential function whose graph is given.

Answered: The graph of an exponential function is…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section8.6: Comparing Linear, Exponential, And Quadratic Functions

Problem 41E

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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.
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. Suppose the largest possible cutout length is 3.5 inches. Over what interval of xx does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.)
The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. A circle is being dilated such that the radius is growing in time, m in minutes, according to the function r= 2m + 5. Express the circumference as a function of time in minutes, m.
Your friend earned $3000 his first year working a part-time job. Every year he gets a 3% raise. To the nearest dollar, what is the total your friend earned after 6 years? Hint: The situation can be modeled by an=3000(1.03)n-1
In 2011, the population of Zoolandia was 85.5 million. In 2017, the population was 80.1million.a. Create a function modeling the population of Zoolandia. Round the k-value to five decimalplaces.b. How many years will it take for the population to reach 60% of the initial population?2. Use the rules of exponents to explain why the equation 2? = −2 has no solution.
#27 Using technology, we found that Juan’s investment account can be modeled by the function, C(x) = 3x2 - 2x + 5, in thousands of dollars. What was Juan’s initial investment? $10 $5 $5,000 $10,000
If ƒ′(x)<= 2 for all x, what is the most the values of ƒ can increase on [0, 6] ? Give reasons for your answer.
5 years ago a dad was 6 years older than 3 times his son's age at that time. In 4 years, he will be 5 years older than twice the age of his son. How old are they now? - show this in a Pictorial solution
Studies have shown that the number of accidents a driver has varies with the age of the driver, and is highest for very young and very old drivers. The number of serious accidents for drivers of age x during a recent year was approximately f(x) = 0.013x2 − 1.48x + 48 for 16 ≤ x ≤ 85. Find the age that has the least accidents, rounding your answer to the nearest year.
When a species of pigs is introduced onto an island, its population increases 15% each year. This population t years after introduction is given by P = k * a^t where k and a are constants and t is greater than or equal to 0 what is the value of a? use the graph below to help solve
A person standing close to the edge on top of a 64-foot building throws a ball vertically upward. The ball's height, in feet, above the ground can be modeled by h(t)=−16t2+120t+64h(t)=-16t2+120t+64 where tt represents the number of seconds after it was thrown.What is the maximum height of the ball? feetRound your answer to 2 decimal places as neededHow many seconds does it take until the ball hits the ground? secondsRound your answer to 2 decimal places as needed
The graph shows the amount of a medicine m, in milligrams, remaining in a patient’s body h hours after receiving an injection. The amount of the medicine decreases exponentially. 3a. By what factor did the medicine decrease in the first hour and a half? Explain how you know. * Your answer This is a required question 3b. By what factor did the medicine decrease in the first half hour? What about in the first hour? Explain how you know. * Your answer 3c. Write an equation relating m, the number of milligrams of the drug in the patient’s body, and h, the number of hours since the injection. *

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