Which of the following is not a function for all values of x? o a) f(x) = 6x %3D O b) f(x) = 2x + 3 %3D O c) g(x) = 4x O d) f(x) = -x o e) x = f(x)

Q: what is the equation of the following linear unction f(x) through the points (-5, -2 and (7,-3)

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Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

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Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: Given the three function below, which expression equals (r o bo s)(x)? b(x) = 2" r(x) = |æ| s(r) =…

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Q: 1 f(x) 2 3 4 5 6 8

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Q: Using a table, Find f [1.3, 2.4, 3.6] where f (x) = x²

A: For a function, , x is the independent variable and y is the dependent variable.

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

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Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

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Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

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Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

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Q: Determine fx (x); f(x) = x² · e*/2 %3D

A: d(uv) = udv + vdu

Q: Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1,…

A: A composite function is generally a function that is written inside another function. Composition…

Q: )- (3x* -7х +4

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Q: Expand and simplify, then verify your answers by evaluating the expressions before and after…

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Q: If f(z) = z+2 and g(z) = z-2, (a) f(g(z)) = %3D (b) g(f(z)) = %3D (c) Thus g(z) is called an…

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Q: Let f(x) ƒ¯¹(-4)= = x+1 x+8

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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!