In Problems 10, use the graph of f to estimate the indicated limits and function values.

Q: :-3 ifx 2 -3 2-1

A: The given piecewise function is,t(x)=-12x-3if x<2-1if x≥2

Q: Use the function f (x) = x³ - x* to answer the following problems. a. Find the intervals on which…

A: 6. The given function is fx=23x3-12x4. Since the above function is real and defined for all real…

Q: Suppose you are given a formula for a function fpxq, and you are asked to find all the critical…

A: Suppose, Given - a formula for a function f(x) Critical Points: Critical point of a function are the…

Q: 2. Let f(x) = x² + x³ - 10x² + 10. Find each of the following. You will need your graphing…

A: Concept: Domain: The domain of the function is the set of the inputs or the argument value for which…

Q: Suppose you are given a function f. Explain, using complete sentences, what you need to do to (1)…

A: Given that we are given a function f,now we need to find (1) the exact x values where f might have a…

Q: The diagram below will be used to answer ALL of the following questions: f(x) 8 -8 -7 -6 -5 A -3 -2…

A: Since you posted more than 3 subparts question, according to our guidelines we can solve only first…

Q: ts) Graph the following function f(x) = (-x if x < -2 x² if-2 ≤ x < 2 (3 if x ≥ 2

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Q: -2 2

A: From given graph When  : Undefined Function is discontinuous at

Q: What is a consequence of having a restricted range in how variables are measured?

A: first we see what is mean by restricted range  Restricted range:    Meaning of restricted range is…

Q: 10. Consider the function k(x) = a. Evaluate k (10). =(1₁ b. Evaluate k (π). if x ≤ 5 1 if x > 5 c.…

A: We have given function k(x) kx= 1    if x≤5 kx=-1 if x&gt;5 (a) When x=10 , 10&gt;5 k10=-1 (b) When…

Q: 4. a) Carefully graph the following piecewise-defined function. b) State the domain and the range…

A: The given function function,g(x)=4-x2if x&lt;22x+3if x≥2

Q: What is A line that just touches a curve at a single point.   What is A linear approximate of a…

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Q: Graph the following function (using a graphing calculator or desmos.com). Use the approximate…

A: We have given functionWe have to draw the graph using calculator and approximate the relative…

Q: 10. Graph the following piece-wise defined function: |f(x) = −5 if x 2

A: Definition: A piecewise-defined function is a function defined by multiple sub-functions. Here each…

Q: Suppose f(x) is a known function with a known graph. Give a formula for a function, g(x), whose…

A: f(-x) is reflection of f(x) about y axis.

Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2.…

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.

Q: 9. Let f(x) be defined as the piecewise function graphed at right, and let g(x) be defined as 3.…

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Q: 1. In your own words, describe how you can determine if a relation is a function if the relation is…

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Q: 13.   please help   Either f(x) a graphically defined function.   calculate:

A: Step 1:Step 2: Step 3: Step 4:

Q: if x 1 find the following: a. f(-2) b. f(0) c. f(1) d. f(2) if x 1 Label four points.

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Q: g(x). 19. Graph the following piecewise function: [5, if 0 < x <6 9-(x-8)2, if6 <xs 10

A: The given piecewise defined function gx=5,if 0≤x&lt;69-x-82,if 6&lt;x≤10. We have to sketch the…

Q: 3. Sketch the graph of the function: ーX if x<-2 fめ12 fx) if-2<x< 2 X-1 if 2ļ x

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Q: 4. Graph the piecewise function 3 if -1 2

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Q: (1) Suppose that for each manuscript Charles Dickens produced, he was paid where L is the total…

A: The amount paid to Dickens is given by where L is the total length of the novel in words.The number…

Q: 2. Graph the following piecewise function: -2 <a S0 1 f(x) = 0 <r<3 (-r 3<x< 5

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Q: 3. Use set notation to describe the domain and range of the following functions: f(x) = -3 /|x +2|…

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Q: For each of the following functions find the range for the given domains (a) f :x+ 2x - 3 domain…

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Q: if the range is 1, what is the domain? Show your detail work.

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Q: 24) f(x) = - 4, if x ≤ 1 3x, if x > 1

A: Here we have to plot the graph.

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.