y Verbal Ability 60 55 50 45 40 35 25 32 39 46 53 60 67 74 81 Age Mean Score

Q: State whether or not the relation below represents a function and state its domain and range. a. b.…

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Q: What is the range of the function below?

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Q: 7. Find the average rate of change for the function f(x) = 24x' - 36x - 528x – 1260 over-25x54.

A:

Q: b. Use the vertical line test to determine if the relation shown in the graph below is a function. y…

A:

Q: Use the graph of the function to estimate the intervals on which the function is increasing or…

A: consider the given figure

Q: e) What are the domain and the range for this situation?

A: Topic:- calculus

Q: 26. What is the range of the function?

A:

Q: Use the table of values to estimate ∫. Use three equal subintervals and the (a) left endpoints, (b)…

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Q: What is the range of the function y = -5* – 2? O (-2, 00) O (-00, -2) O (-0, -5) O (-5,00)

A: Range:-  range of the function is the set of all                     values that f ( function)  take…

Q: what is an example of a piece-wise function with two linear functions with domain value of -5 to 5,…

A: We are going to write a piecewise function with domain = [-5,5] Let us pick a linear equation with…

Q: Write a function that models the distance D from a point on the line y = 9 x - 10 to the point (0,0)…

A: Here,

Q: Let R = {(n, −n) | n ∈ Z and n ≤ 0} ∪ {(n, n + 1) | n ∈ N}. Is R a function? Justify your answer.

A:

Q: (a) What is dom(R)? (b) What is range(R)? (c) What is the relation R-1? (d) Is R a function from A…

A: Definitions :  Domain (R) : The set of all first components of the ordered pairs belonging to R is…

Q: Part A: Let y represent the number of rabbits after x years. Which functioncan be used to model y as…

A: Figure in table year Rabbit 0 10 1 30 2 90 3 270 4 810 5 2430…

Q: Write an equation that expresses the fact that a function f is  continuous at the number 4.

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Q: What is the domain of the function shown in the graph below? 4. 10 9 8 4567 8 9 10

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Q: Is the given function a sum, product, quotient, or composition of basic functions? 9 (2) = ai . e

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Q: Questiun 4 At which interval is the function decreasing? 10 10 O (7,22) O (7,9) O (0,3) O (9,22)

A:

Q: Write the Properties of Continuous Functions?

A: Given functions is continuous function.

Q: 2. In the following table below, the scholar is mapped to the grade level. Student Grade Level James…

A: Definition of Function -  A relation between the set of ordered pairs or a set of input or output is…

Q: nsider the graph of f(x). hat is the average rate of change of f(x) from x, = 4 to x2 = 7? Please…

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Q: Just in case you didn't think about the really big numbers in your model, how much of the prize…

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Q: A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) =…

A: It is provided that n(x)=67500.928x. We need to determine the revenue function, profit function. We…

Q: The graph shows the relationship between the time, in seconds, and the distance traveled by a…

A: This graph is only shown in positive X, y plane Domain of a function is all the values of x where…

Q: Health/Medicine. Graph the velocity function and estimate the intervals on which the velocity of air…

A: Given

Q: 13. Question: If f(x) is a position function, how could we describe f'(x) and f"(x)?

A: we have f(x) as positional function.

Q: Which description best describes functions which are increasing on a specified interval? On a graph,…

A: If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I.

Q: Evaluate the function at the specified points in the figure below

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Use the graph to answer the questions below. 12 8 4 9. -4 -4 -8 -12. What is the range of this…

A: Range of a continuous function means lowest and highest value/points of y on y-axis.

Q: What is the range of the function shown? 10. O (00,5] O (-00, 7] O 13.5,10] O 10,7)

A: The range of a function is the complete set of all possible resulting values of the dependent…

Q: What’s the range? Is the range increasing ? What’s the domain?

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Q: Describe several ways in which a function can fail to bedifferentiable. Illustrate with sketches.

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Q: Range refers to the x values that satisfy the function. True False

A: Every function must have a Domain and Range

Q: AY -81

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Q: Find, if they exist, the extrema of the function:

A: Given that  f(x,y) = x2+y2-1 Subject to x - y = 2 ⇒g(x,y)=x-y-2 Let us find  <fx,fy> Finding…

Q: Find the range of the Function /(a) 12 0(-, ) O (-x, 12) O (-, 0)U (0, o) 0-, 12) u (12, oo)

A: Topic - functions Range of the function is the values for which f(x) is defined. The given function…

Q: Describe the end behavior (long run behavior) of f(x) = x* As x → - oo, f(x) As x → 00, f(æ) → ?…

A: Given , f(x) = x4

Q: Use the data in the table. 10 20 30 40 y 27.5 38.9 47.7 55 Write a function that models the data.…

A: To write the function

Q: Determine the yange of the function what is the range of y=3 secx? write answer in interval…

A: Consider the given function, y = 3sec(x). Find range graphically: The range of the function is set…

Q: For the function g whose graph is given below, arrange the following numbers in increasing order.…

A: topic -derivative of a function at different points where function is decreasing , derivative is…

Q: Briefly explain what the Mean Value Theorem tells us. Why do we require that f be a continuous…

A: Explanation given below...

Q: State the intervals on which the given function is increasing, decreasing, orconstant.

A: Given a graph of the function,

Q: rélation is a function. 1. (0, 3), (1, 1), (2, 2), (3, 4), (4, 2) Range= Function=

A:

Q: State the open intervals over which the function is (a) increasing, (b) decreasing, and (c)…

A: We can find the required intervals as below.

Q: What is the midline of the function graphed below?

A: Given ,  We have to find the midline of the function

Q: 2. Let's explore the behavior of the function that relates altitude, h, in meters, and atmospheric…

A: a) As per the graph, the data seems to be non-linear. There is a curve in the trendline which…

Q: Find the domain and range of the function using the graph below. 6+ 4 1 2 3 4 5 6 7 8 9 10 11 12 13…

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Q: 4) Use the given graph of a function f to determine when the function is increasing, decreasing, or…

A: Function is increasing when slope of tangent is positive and decreasing when slope of tangent line…

Q: Topic :Limits   Give a value that is close to 3 but not equal to 3.

A: According to the given information, it is required to determine the value that is close to 3 but not…

Q: 3 Can a function be always concave down and never cross zero? Can it be always concave down and…

A: The 1st answer is Yes and 2nd is No.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.