Graph h and describe the discontinuity: for x < 0 = (x)y In x for x > 0 Is h left- or right-continuous?

Q: Find the x -values (if any) at which f(x) is not continuous, where (x-5

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Q: FOU-X [012] show Fis lipschit z function ornot. to Find k= ?

A: See the attachment

Q: Identify the type of discontinuity at x= 1. a) Removable Discontinuity b) Essential Jump…

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Q: d. b e a f

A: A graph open and ends both in downward direction

Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6,…

A: Hair we are given that the function is continuous at every point. we use the concept of limit for…

Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and…

A: from the given graph

Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

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Q: explain why the limits do not exist. x approaches 1  .... 1/[x -1]

A: Given: The limit expression limx→11x-1 To determine: The given limit exist or not.

Q: What are the limits when x approaches 2-Let f(x ) = 1 / (x-2)

A: we have to evaluate the limit

Q: Find the intervals on which the function is continuous. x +5 17) y =2-7x + 10

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Q: Identify the type of discontinuity at x= - 2. a) Removable Discontinuity b) Essential Jump…

A: The function is said to be continuous at a point if the function holds a definite value in the…

Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

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Q: For the graph of a function y = f(x) shown on graph, find the absolute maximum and absolute minimum,…

A: Absolute maximum at x=3 and absolute maximum value=7

Q: What type of discontinuity does the graph have at x = 1? O continuous O jump -2 O oscillating -2+ O…

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Q: 9-x - S(x)= Vx- 6

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Q: What is the limit of f (x) = 1 as x → π?

A: The value of this function is equal to 1 regardless of value of x as we can see below in graph.  So…

Q: Q3/ A) Decide if the following function is continuous using limits. 2х x1.

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Q: Use the graph of the function y = f(x) provided above to fill in tables below (write DNE (does not…

A: We have to find the limit from the figure.

Q: Find the largest open interval where 8. y = (x?_9)a° is increasing.

A: Given query is to find the interval where function is increasing.

Q: This function: y 4 -4 -2A 4 2 1 -4 has an infinite discontinuity has a jump discontinuity has a…

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Q: Determine the open intervals where the function f(x)= xe^x is increasing and where it is decreasing.

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Q: find the x-values (if any) at which ƒ is not continuous. Which of the discontinuities are removable?

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Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) f(x) =…

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Q: ind the absolute maximum of h(x) = x² – x 2 over [-3, 6]. Enter only the y-coordinate of the…

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Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from graph of y=k(x) , that the function k(x) is continuous on the interval [-1,1) and…

Q: Find the absolute minimum of f (æ) = x² – 6 on the interval [1, 2].

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Q: Graph h and describe the discontinuity: h(x) = { ex lnx for x &lt; 0 for x &gt; 0 Is h left- or…

A: Given the function h(x)=ex lnx.  We need to sketch the graph for the given function for x&lt;0 and…

Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: neither lim f(x) nc

A: For the limit  fx and gx , take the condition . For function fx, fx=2 if x≥00 if x&lt;0 The limit…

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: Give the three conditions that must be satisfied by a function to be continuous at a point.

A: We have to write  the three conditions that must be satisfied by a function to be continuous at a…

Q: ind the limit as x approaches two of (2x + x – 10)/(2 – x)

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Q: Which of the following intervals is required to guarantee a continuous function will have both an…

A: A continuous function will have both an absolute maximum and an absolute minimum in a closed…

Q: Find the limit. 3x3 lim (x,y) →(1,-2)1+x2 00 0-12120 O 1 ula 0-1/105 O

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Q: Find the limit f(X) as x approaches -1 from the left.

A: Graph of f(x) is continuous at x=-1 and f(-1)=2 hence limit f(x) approaches to 2 as x approaches to…

Q: Use the graph to determine the values of x at which the function is not continuous.   x=

A: Given the graph of the function

Q: Estimate the following limits based on the graph of y = f(x) which is shown in figure 1. Give…

A: Note: Since you have posted multiple questions, we will be solving only the first one for you as per…

Q: Given the graph of f(x) below, find the absolute minimum y-value on the interval (-4, 6|, if it…

A: Here we calculate the absolute minimum of function using the given figure.

Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: 16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3…

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Q: f(x)=√√x at x = 7

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Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

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Q: 2- Find ( for: y= esin-1 x

A: first derivative of function

Q: If |ƒ(w) - ƒ(x)| &lt;=|w - x| for all values w and x and ƒ is a differentiable function, show that…

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Q: Find the Horizontal Asymptote(s) of f(x) = 1+

A: We have to identify the relative extrema according to the given information and find the horizontal…

Q: Determine the interval(s) where f(x)-In (5x+10) is continuous. It is continuous in the interval

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Q: Find the limit as x approaches infinity of the function V2 – x2 h(x) х3 — х + 1

A: Given:  h(x)=2-x2x3-x+1h(x)=x2 2x2-1x31x3-1x2+1  (Taking highest power of x in the…

Q: There is an infinite discontinuity at x = 0 and f(0)=-2

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Q: If functions ƒ(x) and g(x) are continuous for 0&lt;=x &lt;=1, could ƒ(x)/g(x) possibly be…

A: According to continuity theorem if f(x) and g(x) are continuous on [0,1] then if g(x) ≠ 0 on [0, 1]…