Test Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Tell whether the function y = 2( 5 ) shows growth or decay. Then graph the function. a. This is an exponential growth function. c. This is an exponential decay function. x b. This is an exponential growth function. d. This is an exponential growth function. ____ 2. Graph the inverse of the relation. Identify the domain and range of the inverse. x y −1 4 1 2 3 1 5 0 7 1 a. c. Domain:
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Exponential Functions An exponential function is in which a constant base is raised to a variable power. Exponential functions are used to model changes in population size‚ in the spread of diseases‚ and the growth of investments. They can also accurately predict types of decline typified by radioactive decay. The essence of exponential growth‚ and a characteristic of all exponential growth functions‚ is that they double in size over regular intervals. The most important exponential function is
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Introduction According to the International Program Center‚ U.S. Census Bureau‚ the total population of the World‚ projected to 03/27/08 at 19:37 GMT (EST+5) is 6‚657‚527‚872. (US Census Bureau) This rapid growth in population means little to most people living in this today’s world but it’s a phenomenon that should be a concern to all. It took from the start of human history to the industrial revolution around 1945 for the population to grow to 2 billion. If we then look at the figures after
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Exploring Exponential Models 1 x 3. y 5 2 Q 5 R Graph each function. 1. y 5 (0.3)x 6 Date 2. y 5 3x y 6 y y 4 4 2 2 x x Ϫ2 O 2 Ϫ2 O 2 x Ϫ2 O 1 4. y 5 2(3)x 5. s(t) 5 2.5t y 6 s(t) 6 f(x) 4 2 4 6 4 1 6. f (x) 5 2(5)x 2 2 2 Ϫ2 O x t x 2 1 x 7. y 5 0.99 Q 3 R decay; 0.99 Ϫ2 O Ϫ2 O 2 2 Without graphing‚ determine whether the function represents exponential growth or exponential
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In mathematics‚ the exponential function is the function ex‚ where e is the number (approximately 2.718281828) such that the function ex is its own derivative.[1][2] The exponential function is used to model a relationship in which a constant change in the independent variable gives the same proportional change (i.e. percentage increase or decrease) in the dependent variable. The function is often written as exp(x)‚ especially when it is impractical to write the independent variable as a superscript
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became more relaxed in spite of the mounting evidence for global climate change. 2. Explain the main point concerning exponential growth and whether it is good or bad. Compare exponential growth to a logistic growth curve and explain how these might apply to human population growth. What promotes exponential growth? What constrains population growth? The population growth is dependent and thus proportional to the birth rate‚ which is the main variable.
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a relation in which each element of the domain is paired with exactly one element in the range. Two types of functions are the exponential functions and the logarithmic functions. Exponential functions are the functions in the form of y = ax‚ where ’’a’’ is a positive real number‚ greater than zero and not equal to one. Logarithmic functions are the inverse of exponential functions‚ y = loga x‚ where ’’a’’ is greater to zero and not equal to one. These functions have certain differences as well as
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Microbiology (Lab Report) Closed system growth curve Closed System Growth Curve Lab Report PURPOSE Bacteria grown in a closed system show a specific growth pattern called the growth curve which consists of four phases. The lag phase‚ which is a period of slow growth; exponential phase‚ period of maximum growth; stationary phase‚ where nutrients become the limiting factor making the growth rate equal to the death rate and the death phase where organisms die faster than they are replaced. It
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Population Growth Population Data The table below shows the population data for England and Wales between the years of 1801 and 1951. Census was not taken in 1941 because of the Second World War. |Year |Population | |1801 |8‚892‚536 | |1811 |10‚164‚256 | |1821 |12‚000‚326 | |1831
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05A2009 =0.50(83000) + 0.30(67000) + 0.15(64000) + 0.05(48000) = 41‚500 + 20‚100 + 9‚600 + 2‚400 = $73‚600 $73‚600 is the forecast for 2013 Q2. Using exponential smoothing with a weight of 0.6 on actual values: a) If sales are $45‚000 and $50‚000 for 2010 and 2011‚ what would you forecast for 2012? (The first forecast is equal to the actual value of the preceding year.) Actual values are 2010: $45‚000
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