Consider the following graph: 10 Check the line if the function is continuous on the given interval. Pay attention to the interval symbols!! А. (-6, -1] (0, 5) [5, 10] [3, 5] (0, 3) В. Identify a value of x, -8 < x < 15, for which the function is continuous from the left. С. Identify each value of x, -8 < x < 10, for which the function is not continuous. State the type of discontinuity.

Q: What does it mean for a function to be continuous on an interval?

A: A function is said to be continuous on the interval when the function is defined on every point of…

Q: Consider the following graph and determine the intervals on which the function is concave upward or…

A: We know that, Concavity relates to rate of change of the derivative of the function. Graphically, a…

Q: Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]

A: The graph is shown below:

Q: Find the largest open interval where the function is changing as requested. 13) Decreasing y= +7 x2

A: This is a problem of function. By using the shape of the function we will be able to calculate the…

Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3…

A: for being a contrinuous function this condition should be satisfiedlimx→a-f(x)=limx→a+f(x)=f(a)from…

Q: Determine the values of where the function f (x) is not continuous. Label each discontinuity as…

A:

Q: The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $470 per person…

A: Let the number of passenger above 20 be xthen the cost per passenger = 470 - 5x

Q: For what value of the constant c is the function f continuous on the interval (-,00). Sa? – 3, x с…

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Q: On which interval is the function ) = -- increasing?

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Q: When is a function continuous over a closed interval?

A: A function is continuous over a closed interval when it is defined at all points in the interval…

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A: We have to find the intervals between -2pi and 2pi where the given function is (a) increasing or…

Q: 2, if x -1 Find the value for a and b such that f (x) = {ax + b, if – 1 3 for all real numbers.

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous at x=-1 so we…

Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

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Q: x² -x-2 Is the function f(x) : Fcontinuous at x = 2? Why or why not? x-2

A:

Q: Find the largest open interval where the function is changing as requested. Increasing y = (x² - 9)2

A: Given the  function y=(x2-9)2. We need to find the largest open interval in which function is…

Q: Find the intervals on which the function is continuous. 4 y = (x+4)2+8 O a. (-∞, 24), (24, ∞) O b.…

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

Q: Find number k, so that f is continuous at every point. 3x+9, if x-6

A: Given,  fx = 3x+9   if   x&lt;-6kx+6   if  x ≥ -6  fx is continuous at every point, then we have to…

Q: Choose ALL of the following intervals on which the following function is continuous. 2-4 f(x) = 2²²6…

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

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Q: Sketch the graph of a function that is continuous on (- 00,00) and satisfies the following set of…

A: Given that, the graph of a function that is continuous on (-∞, ∞) and satisfying the following set…

Q: 4. Explain what it means for a function f to be continuous at a point x = c, with a sentence that…

A: Given: We have to explain about function f  to be continuous at a point x=c

Q: Use the following information to sketch the graph of a continuous function with the following…

A: The given conditions are : (a) f-3=5, f0=2, f3=0 (b) f'x&gt;0 on -∞,-3∪3,∞and f'x&lt;0 on -3,3…

Q: On which interval is the function f)= -x- increasing?

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Q: find the largest open interval where the function is changing as requested. increasing y=(x^2-9)^2

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Q: Find each x-value at which fis discontinuous and for each x-value, determine whether f is continuous…

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Q: Find the intervals on which the function is continuous. x+5 y = (x-4)(x-3) (х-4)(х-3)

A: y is continuous on (−∞,3)∪(3,4)∪(4,∞)

Q: Find the intervals on which the function is continuous. 1 46) y 7x+ 6

A: Given a logarithm function:find the intervals on which the function is continuous

Q: When is a function of two (three) independent variables continuous at a point in its domain? Give…

A: When is a function of two (three) independent variables continuousat a point in its domain? Give…

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

Q: Sketch a continuous graph with the following conditions f'(x) 0 if (-4, 4) • f"(x) > 0 if (-0o, –1)…

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Q: When can we say that a function is continuous at a number?

A: To explain: The continuity of a function at a point.

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: 6. 4 -6 -4 -2 -2 24 6 -6 -4 -2 -2 4 6 -4 -4 -6 -6 (a) Graph of f (b) Graph of g 2. 2.

A: Refer to the graphs given in item 2. Determine the interval/s where f and g are continuous. Identify…

Q: Graph h and describe the discontinuity: for x 0 Is h left- or right-continuous?

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Q: IV. Determine whether the function is continuous at the indicated number. Sx² – 1 (x +5 x < 3 if 14.…

A: Function is continuous at a given point if it satisfies following conditions at that point:- 1)…

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: Find the intervals on which the function is continuous. 6) y = 5x X+2 A) discontintuous only when x…

A: Discontinuities are the values of x, for which the value of y does not exist. In this case if the…

Q: Determine the values of æ where the function f (x) is not continuous. Label each discontinuity as…

A: Givenf(x)=12x+3  x≤2x+1        x&gt;2    To find x for which f is not continuous.

Q: Find the intervals on which the function is continuous. x+4 y=2-7x+ 12 O A. discontinuous only when…

A: As per bartleby expert policy only one individual question is to be answered. Kindly repost…

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: Find the intervals where f(x) = x -x is increasing

A: We use the first derivative test to find the intervals where the given function f(x) is increasing.

Q: Is the function continuous from X = -5 to x = 0? This function is made up of four (4) linear…

A: 1. True, the function is continous from x=-5 to x=0 as there is no break in the       graph between…

Q: Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on (a, b),…

A: Given, Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on…

Q: (-x? - 2х, х и -2 2) f(x) = (1, x = -2

A: Given:  fx=-x2-2x,  x≠-21,             x=-2 To Find: The intervals on which the given function is…

Q: Adding two functions that are continuous everywhere yields a function that is continuous everywhere.…

A: given,         Adding two functions that are continuous everywhere yields a function that is…

Q: Sketch a function that is continuous on (- 00,00) and has the following properties. Use a number…

A: →Let y = f(x) be any function.   When, f'(x)&gt;0 then function is increasing.   When, f'(x)&lt;0…

Q: 1. Consider the following graph: -10 5. 10 A. Check the line if the function is continuous on the…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q 25- 20- 15- 10- 5- y…

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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.