y=3-x domain  range  growth or decay

Q: of tax returns that will be electronically filed for 2010 using exponential smoothing with α=0.1

A: Solution

Q: sketch the shifted exponential curves

A: The given curves are y=2x-1 and y=2-x-1. The graph of y=2-x-1 is the reflection of y=2x-1 across the…

Q: Calculate y e-(x-3)-

A: Given,            y=e-x-3-x

Q: Each month, Joe’s Auto Parts uses exponential smoothing (with α=0.25) to predict the number of cans…

A: Given that α=0.25

Q: A population that initially has 20 birds approximately doubles every 10 years. Which graph…

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Q: The value of a car is decreasing by 1.5% per month. Suppose depreciation continues at this rate. (a)…

A: r=-1.5% suppose purchase price =p time ,when car price=p/2

Q: The population of a city is 100,000 and the annual growth rate is 4.2%. Write an equation to model…

A: Given that The population of a city is 100000 The annual growth rate is 4.2% = 0.042 To write an…

Q: A population is exhibiting geometric growth and contains 50 individuals in the initial generation…

A: Introduction: An exponential growth occurs when a fixed number is raised to x, but a geometric…

Q: In 2011 a country had a population of 117 million and a growth rate of -0.372%.  Assuming that this…

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Q: You decide to invest $250 in an account that yields a return of approximately 4% each year. Which…

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Q: The seasonal index for 3rd quarter production is 0.88. This indicates that production in the 3rd…

A: Given :- The seasonal index for 3rd quarter production is 0.88. This indicates that production in…

Q: Does the graph show an exponential growth or a logistic growth?

A: In exponential growth curve, the rate at the beginning is slow but then it increases as the size of…

Q: A quantity decreases by 3% for each of five years. What is its percentage decrease over the…

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Q: Determine whether the function represents exponential growth of decay.  Identify the percentage of…

A: Given equation is  y=3(1.6)4 Exponential equation of the form  y=a(b)x When b is greater than 1…

Q: A population of animals starts at 484, 000 and grows continuously at 9.00% per year. Find the…

A: Given , Initial population P=484,000 rate r =9% time t=17 year

Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

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Q: A cave with beautiful prehistoric wall paintings was discovered. Some charcoal found in the cave…

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Q: A certain investment is subject to continuous compounding. The value of the investment after t years…

A: Given the given relation is v=7000e0.05t.

Q: A: Would the graph of y 0.5x show exponential growth or exponential decay? B: Would the graph of y…

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Q: Diseases

A: Exponential growth formula--- Y = a(b) ^t Growth rate : 190% Growth factor(b) : 190/100 = 1.90 a =…

Q: Create a linear or exponential function based on the given conditions. (a) a function with an…

A: We will fit a linear function based on the given conditions. Let the linear fit be : y = mx + c,…

Q: Compare the growth rates of ƒ(x) = x2 and g(x) = x3 as x→ ∞. Compare the growth rates of ƒ(x) = x2…

A: Let f(x) and g(x) is any function. If limx→∞f(x)g(x)=∞ , f(x) grows faster than g(x). If…

Q: The population of a city is 150,000. The city declines continuously by 4% per year. ... If this…

A: Given- Total population=P0=150,000 rate(r)= 4% per year=0.04 per year   To find-  In how many years…

Q: An endangered species has a population of 1,000,000 alive right now. This is only 0.3% of its peak…

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Q: Find the exponential function y = Cekt that passes through the two given points.

A: Find the exponential function y = Cekt that passes through the two given points 3,12 and 4,5.

Q: B: Would the graph of y = 1.5x show exponential growth or exponential decay?

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Q: In 2000, the population of Israel was approximately 6.04 million and by 2050 it is projected to grow…

A: The explicit form of the exponential growth model is defined as At=A0ekt. Where, A(t) denotes the…

Q: Scientists can determine the age of ancient objects by themethod of radiocarbon dating. The…

A: Here, we will use the known half-life of C to find the radioactivity after time t. We know that…

Q: the amount of drug in a person’s bloodstream can be modeled by an exponential decay function.…

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Q: The population of a city is 140,000.  It declines continuously by 4% per year.  Assuming this trend…

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Q: Write and graph a function to show how much money someone will have if they invest $1000 at a 5%…

A: Principal amount  = $ 1000 Interest rate = 5% Compound interest compounded continuously (Pt) = P0 *…

Q: Use Exponential Smoothing with α = 0.5 to forecast enrollment in Spring 2022

A: Given Data : Year Season Data 2020 Spring 131 2020 Summer 16 2020 Fall 175 2021 Spring…

Q: Find the exponential function y = Cekt that passes through the two given points.

A: From the given graph, the exponential function passes through two point (5, 5) and 0,34. Substitute…

Q: Determine whether the function represents exponential growth of decay.  Identify the percentage of…

A: y=(0.3)t-2

Q: The population of a city is 40,000.The city grows continuously by 2.4% per year. If this trend​…

A: 2.4%= 0.024So growth rate = 1+0.024=1.024Every year the popukation grows by 1.024

Q: The equation y=5x+3 represents an exponential function. How are the y-values related for points…

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Q: Use the MA3 method (moving average 3 periods) to forecast enrollment in Spring 2022  Use…

A: a) Data : Year Season Data 2020 Spring 131 2020 Summer 16 2020 Fall 17 2021 Spring 125…

Q: The population of a city is 150,000. The city declines continuously by 3% per year. If this trend…

A: Let the initial population be Po and population at any time t years be P(t). Consider the…

Q: The table gives the population of the United States, in millions, for the years 1900–2010. Use a…

A: In the question we need to predict population in 1925 and 2020.

Q: doctor prescribes 100 milligrams of a therapeutic drug that decays by about 20% each hour (ie. after…

A: To determine the half-life of the drug.

Q: . Write the equation of a function if its rate of changeis -15 and its initial value is 12.

A: Given:- Initial value of a function = −15 Rate of change of function = 12 To find equation.

Q: The value of a dollar decreases by 22% every year. Find the half-life in this situation.

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Q: Find a formula for the exponential function passing through the points (-2, -) and (1, 6). 3 y%3D

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Q: The population of a city is 145000. The city declines continuously by 3% per year. In how many years…

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Q: Would the graph of y - 1.5x show exponcential growth or exponential decay?

A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

Q: The population of a city is 140,000. The city declines continuously by 4% per year. ...

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Q: When you moved into your dorm room, there were initially 40 termites. After 6 days, there were 125…

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Q: A tractor is purchased by a local farmer for $ 12,000 and straight - line depreciates to $ 0 in 20…

A: Given that initial price of a tractor is $12,000. Also the value of tractor after 20 years is $0…

Q: low fast is

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Q: If $2000 is invested at 7.2% compounded continuously, graph the amount in the account as a function…

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.