Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 144 48 16 f(x) =

Q: Model the data using an exponential function f(x) = Ab*. 1. f(x) 0.8 f(x) = 5.

A: Given: f(x) = Abx x f(x) 0 5 1 2 2 0.8     To determine: A, b, and then f(x)

Q: Model the data using an exponential function f(x) = Abx. f(x) = = X f(x) 0: 1 2 300 90 27

A:

Q: Model the data using an exponential function f(x) = Ab*. f(x) -46 -52.9 f(x) =

A: For x=1, y=-46 f(x)=Abx-46=Ab1Ab=-46 ......(1)For x=2, y=-52.9 f(x)=Abx-52.9=Ab2Ab2=-52.9 ....(2)

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 5 4 3.2 f(x) =

A:

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 400 360 324 f(x) =

A: Given data: x012fx400360324To find: Values of a,b where,  fx = abx .

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 81 27 9 f(x)= ?

A:

Q: Write an equation of the exponential function f(x) such that f(1) = 12, ƒ( 1)=0.75.

A: The standard form of an exponential function is as follows:

Q: What is the domain of the exponential function f(x)=14(0.8)xf(x)=14(0.8)x?

A: What is the domain of the exponential function f(x)=14(0.8)xf(x)=14(0.8)x?

Q: Model the data using an exponential function f(x) = Ab×. f(x) = X 0 12 f(x) 64 16 4

A: let y=f(x) then equation to be modelled is y=ABx x y=f(x) 0 64 1 16 2 4 y=ABx taking…

Q: An exponential function f(x) = ab² passes through the points (0, 11) and (3, 297). What are the…

A:

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 300 600 1,200

A:

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 200 180 162 f(x)=

A: Consider the given table   x 0 1 2 f(x) 200 180 162

Q: Which property distinguishes f (x) = ex from all other exponential functions g(x) = bx?

A:

Q: Model the data using an exponential function f(x) = Abx. 1 2 f(x) 117 39 13 f(x) =

A: The given data is: To find f(x)

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 200 100 50   f(x) =

A: Given, the data and using the exponential function f(x) = Abx we model the data.

Q: The function f(x) ex is called the -Select- exponential function. The number e is approximately…

A: The function f(x)=ex is called the natural exponential function. The number e is approximately equal…

Q: Model the data using an exponential function f(x) = AbX. 1 2 f(x) 700 630 567 f(x)

A: (a)  Given that f(x)=Abx from the given table we hav to find the function f(x)=?

Q: Model the data using an exponential function f(x) = Ab×. f(x) = X f(x) 0 400 1 2 800 0 1,600

A: Given fx=A bx and the data   To Find: f(x)

Q: An exponential function f(x)=abxf(x)=abx passes through the points (0, 8000) and (2, 3920). What are…

A: An exponential function fx=a.bx passes through the points 0,8000 and 2,3920

Q: Identify exponential functions. f(r) = 8e* fiz)=52} f(r) = 4x3–6x fir) = I+3x f(z) = e-35 ft#) = 203…

A: Here we have to identify the exponential function from the given function.

Q: The function f(x) = 5* is an exponential function with base f(-2) = | F(0) = f(2) = and f(6) =

A:

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 5 3 1.8 f(x) =

A:

Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 0 1 2 100 0050 2 25

A: We can find the function as below.

Q: f(x + 1) f(x) 7. For an exponential function f(x) = Ca",

A: We have given fx=cax We have to find fx+1fx Then, fx+1fx=cax+1cax=cax.acax=a

Q: The function f(x) = 5* is an exponential function with base Li f(-2) = . f(0) = f(2) = and f(6) =

A:

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. After 2 hours, only…

A: That's easy, just need an observation that it reduces by half each hour.

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 400 120 36   f(x) =

A:

Q: Find the equation of the exponential function f (x) 0 5 1 5.2 2 5 (2)? 3 5 (2)°

A: Generalise equation for exponential

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 144 36 9   F(x)=

A:

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 171 57 19 f(x) =

A: Given that, The exponential function is following, f(x) = Abx f(0) = 171, f(1) = 57, f(2) = 19 We…

Q: Model the data using an exponential function f(x) = Ab×. f(x) = = X f(x) 0 1 25 15 2 9

A:

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 600 1,800 5,400 f(x) =

A: Given, x 0 1 2 f(x) 600 1800 5400

Q: Model the data using an exponential function f(x) = Abx. x 1 2 f(x) −61 −93.025

A:

Q: Model the data using an exponential function f(x) Ab %3D f(x) 125 25 2) 5. 1.

A: Given-  Consider the data,            x                0                  1                   2…

Q: Model the data using an exponential function f(x) = Abx x 0 1 2 f(x) 100 60 36 f(x)=??

A:

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 4 3 2.25 f(x) =

A:

Q: The range of an exponential function f(x) = b x is _____.

A: To fill:The range of an exponential function f(x) = b x is _____.

Q: Model the data using an exponential function f(x) = Abx. %3D 0 1 2 f(x) 160 80 40 f(x)

A:

Q: Model the data using an exponential function f(x) = Ab*. 2 f(x) 400 800 1,600 f(x) =

A:

Q: A bacteria sample (in millions of bacteria) after X days is given by the exponential function…

A: After 10 days, the number of bacteria will be P(10)=3(1.25)10 = 27.9397 millions

Q: The exponential function f(x) = 42.2(1.56)x models the average amount spent,f(x), in dollars, at a…

A: Consider the given exponential function: fx=42.21.56x Where, f (x) is the average amount spent in…

Q: Sketch the graph of the exponential function. f(x) = (0.7)* Complete the table of coordinates. - 1 1…

A:

Q: The table contains some points on the graph of an exponential function. X f(x) 0 6 1 9 2 13.5 3…

A: Ans (1)  We have given data in tablex       f(x)0      61      92      13.53      20.254…

Q: Model the data using an exponential function f(x) = Ab. 1 2 f(x) 400 800 1,600 f(x) = || %3D

A: We have to solve

Q: model the data using an exponential function f(x)=Abx   x 0 1 2 f(x) 32 8 2

A: To model the given data by using an exponential function, fx=Abx. x 0 1 2 f(x) 32 8 2

Q: Model the data using an exponential function f(x) = Abx. 1 2 (x) 900 450 225 f(x) =

A: The given table is x 0 1 2 f(x) 900 450 225   we have to model the function f(x)=Abx  We can…

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 200 180 162   f(x) =

A:

Q: Model the data using an exponential function f(x) = Ab*. 0 1 2 f(x) 800 240 72 f(x) = Need Help?…

A:

Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 012 64 16 4

A:

Q: A table of data is given. x f(x) −2 128 −1 27 0 5 1 1 2 0.1 Which exponential model best…

A: Given a table of a function: x fx -2 128 -1 27 0 5 1 1 2 0.1 We have to find the…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!