What is an increasing function?

Q: Compare Increasing Functions and Decreasing Functions?

A: If the value of a function, f(x), increases for each increasing value of x, then f(x) is an…

Q: Explain The Chain Rule with Powers of a Function?

A: Chain rule with exponents

Q: Is the product of two increasing functions always increasing? Explain.

A: Given: The statement is “the product of two increasing functions is always increasing”. Here, the…

Q: What is a piecewise function?

A:

Q: Give an example of continuous function?

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Q: What is the integer floor function?

A:

Q: What do you mean by generating function?

A: In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by…

Q: Find the open intervals on which the function, fx) = 12x – x°, is increasing or decreasing.

A: We have to find the open intervals on which the function f(x)=12x-x3 is increasing or decreasing .

Q: The graph of a function is shown below. On which interval is the function increasing and non-linear?

A:

Q: What is an even function? An odd function?

A: What is an even function?

Q: Show that every increasing function is one-to-one.

A: A function f from A to B is called one-to-one (or 1-1) if whenever f (a) = f (b) then a = b. No…

Q: Exer. 43-50: Simplify f(x), and sketch the graph of f. 2x²+x-6 43 f(x) x² + 3x + 2

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Q: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: Define Increasing and decreasing function?

A: According to the question, we have to define the increasing and decresing function. To check the…

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A: Explanation of the answer is as follows

Q: What is the end behavior of the function

A: The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches…

Q: How does one find the domain of a composite function? I am not understanding the process

A: Composition of a function is defined as,

Q: Suppose that represents the number of violent crimes committed in year x and represents the number…

A: Given thatNumber of violent crimes committed in year xNumber of property crimes committed in year…

Q: What is the decreasing and what is the constant

A: follow next step

Q: - the function

A:

Q: a function?

A: We know that ,  For a relation to be function each element of A should have single image in B.

Q: What is the least integer function or the integer ceiling function?

A:

Q: What is the power function?

A: Given that: The term is power function.

Q: What are the increasing and decreasing intervals ? What are the relative maxima and minima of this…

A: As we know that the value of f(x) increases when x-increases then it is increasing function Here…

Q: Explain Increasing and Decreasing Functions?

A: Increasing Function: Let y = f(x, y) be differential function on (a, b). If for any two points x1,…

Q: 5- -10 --5 -5-

A: According to given graph of function parent function isy=-xgraph shift left 2 units y=-x+2graph…

Q: Mathematically show that f(x) = 3x³ – x is an odd function.

A: A function f(x) is said to be an odd function when; f(-x)=-f(x) where the sign is reversed but the…

Q: 10 -8- -6- -2- -10 -8 -2 2 4 10 -2 --6-

A:

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A:

Q: Which kind of function is called the greatest integer function?

A: f(x)= [x] is called the greatest integer function.  We have to take the greatest integer less than…

Q: The boxes that are checked correspond to functions that are: Increasing Decreasing

A: We need to provide boxes that are checked when a funtion is increaing and decrasing.

Q: what is increasing or decreasing function

A:

Q: Estimate of f′(3)

A: NOTE: Refresh your page if you can't see any equations. . to find the value of f'(3), we need to…

Q: Determine the intervals of increase/decrease for the function f(x) = x² -12

A:

Q: Define a piecewise function on the intervals (- ∞, 2], (2, 5), and [5, ∞) that does not “jump” at 2…

A: We have to define a piecewise function f(x) having the  following properties: f(x) = ....if x∈(-∞ ,…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: To determine function H that represents total health care expenditures in year x

Q: Determine the intervals on which the function is increasing, decreasing, and constant.

A: A detailed solution is given below

Q: What are the Increasing and Decreasing Functions?

A: We have to define the increasing and decreasing functions. We determine increasing and decreasing…

Q: Why is f'(x) =0 not enough to justify if there is a max or min? Sketch a counter-example.

A: f'(x)=0 simply means that the slope of f(x) is zero for the value of x for which f'(x) is zero.

Q: What is a one-to-one function?

A: A function can be said to be one-to-one if it never takes on the same value twice or more.

Q: 7. A worker gets $20/hour for a normal work week of 40 hours and time-and-a-half for overtime.…

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Q: 5) Determine which kind of function is shown in the graph. linear function O neither exponential nor…

A: Given graph, The main objective is to determine the type of function graph.

Q: A function is a rule for which each input is paired with ________ ____ output.

A: We know that a function is a rule for which each input is paired with only one output

Q: Explain a power function?

A: we have to explain a power function

Q: is decreasing.

A: The function isf(x)=4x3-81x2+486x-811The function is decreasing means fx+1<fx

Q: Ay 6- 4- 2- 6. -4 -2 6. -2- -4- -6- 4.

A:

Q: Describe the Greatest and Least Integer Functions?

A: The greatest integer function is written as x x means the largest integer which is less than or…

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A:

Q: Is the sum of two increasing functions always increasing? Explain.

A: Since ? and ? are increasing functions ?>?⇒??>?? and ??>??…

Q: Are all odd functions always decreasing? Explain

A: DEFINITION OF ODD-FUNCTION: An odd function f (X) is a function such that for every value of X ,…

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!