Use a graph to determine whether the given function is continuous on its domain. g(x) =    5 − x if x ≤ 5 x + 5     if x > 5 continuous or discontinuous     If it is not continuous on its domain, list the points of discontinuity. (If there is no such point, enter NONE.) x =

Q: Use interval notation to indicate where f(x)=x-7/(x-5)(x+5) is continuous.   "f" is continuous on…

A:

Q: 2. When can we say that a function is continuous at an interval?

A: We know that when a function does not have any discontinuity, then it is a continuous function. It…

Q: Sketch the graph of a function that is continuous on an open inter-val (a, b) but has neither an…

A: Suppose, f(x) is any function and its graph is drawn as:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x…

A:

Q: Sketch the graph of a function f that is continuous except that is has a removable discontinuity at…

A:

Q: 1. How to determine whether the function is continuous or not at a certain point?

A: As per our guideline we are supposed to be answer only one question please repost the other question…

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…

Q: Use a graph to determine whether the given function is continuous on its domain. f(x) = 34 lxl/x…

A:

Q: Define f(x) = (x2 - 81)/(x - 9) at x = 9 so that the function becomes continuous at 9.

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Define f(x) =(x2 - 81)/(x - 9)at x = 9 so that the function becomes continuous at 9.

A: Given function is fx=x2-81x-9. To define function fxso that the function becomes continuous at x=9.…

Q: Is it possible to determine f (7) if f (x) = 3 for all x < 7 and f is right-continuous at x = 7?…

A:

Q: determine whether or not the function is continuous at the indicatedpoint. If not, determine whether…

A: case 1 when x is not equal to 4lim x tends to 4 f(x) =( x^2-16)/(x-4)now using formula a ^2 - b^2 =…

Q: Give an example of a function ƒ(x) that is continuous for all values of x except x = 2, where it has…

A:

Q: _25. Determine if f (x) = {"" (2x – 1 if x 5 is continuous on [2,5]. A. discontinuous on an…

A:

Q: S(x + 4)² -2 < x x < -2 f(x)

A: fx=x+42    -2≤xx2              x&lt;-2 Since the given function is a polynomial function for all…

Q: Determine the intervals on which the function is continuous. %3!

A: To find: The interval in which the function fx=12-x is continuous. Concept used: The domain of the…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: Sketch the graph of a functionf that is continuous except for a removable discontinuity at 2.

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the functionfx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3we discuss about the discontinuity of the…

Q: Determine whether the following statement is true or false, and explain why. A continuous function…

A: Consider the provided information, A continuous function on an open interval does not have an…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: To check for the continuity of the function fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: 18. Sketch a labeled graph of a function that fails to satisfythe hypothesis of the Intermediate…

A: Intermediate theorem states that if f is a continuous function then on the interval a,b the function…

Q: Suppose that (picture) If f is  continuous for all real numbers, then c is equal to:

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

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

A:

Q: Give an example of a function g(x) that is continuous for all values of x except x = -1, where it…

A: Consider the figure:

Q: Which is not true? If a function is continuous on a closed interval [a,b], then it has a maximum and…

A:

Q: Suppose f " is continuous on (-∞, ). (a) If f '(-5) = 0 and f "(-5) = 5, what can you say about f ?…

A: Given:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: Use the definition of continuity, along with the One- sided continuity theorem, to determine whether…

A: We first find left and right hand limit at x=4If left hand limit=f(4)=right hand limit, then the…

Q: Example: Sketch a graph of a function that has a removable discontinuity at x = -2, a jump…

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x²+2x x≤1…

A:

Q: Sketch a graph of a function ƒ that is continuous on (- ∞, ∞) and has the following properties.…

A: To sketch the graph if a function f which is continuous on (-∞, ∞)  and first and second derivatives…

Q: Suppose that the function fis defined, for all real numbers, as follows. x-4 if x <2 f(x) = - –2x+2…

A:

Q: Determine if the function is continuous or discontinuous at x=2. h(x) = x - 1, if x 22 2x- 1, if x<2…

A: if Left hand limit and right hand limit are equal then function is…

Q: It is possible for the absolute maximum of a function on a closed interval to occur at:

A: An absolute maximum must occur at a critical point or an endpoint, and x = 0 is the only such…

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: Use a graph to determine whether the given function is continuous on its domain. [3 – x if x 3…

A:

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: Sketch the graph of a continuous function that satisfies the following conditions: f'(x) > 0 on (–…

A: Given information f'x&gt;0 on −∞,2f'x&lt;0 on 2,∞f''x&gt;0 on −1,1f''x&lt;0 on −∞,−1 and 1,∞ We have…

Q: The function has a right-hand limit as x approaches 4. Select one: True False p(x) = x² if 0 < x≤ 1…

A:

Q: If a function is continuous on a closed interval, then the function will have an absolute maximum…

A:

Q: By the definition show that f(x) = 2 + |x| is a continuous graph at the origin. Also, show the…

A:

Q: x3-9x f (x) = c = -3 x² +11x+24

A: Given function is fx=x3-9xx2+11x+24. To determine whether function is continuous at c=-3. Solution:…