The x y-coordinate plane is given. A point, a vertical dashed line, and a function are on the graph.The point occurs at the point (3, 2).The vertical dashed line crosses the x-axis at x = 5.The curve enters the window in the second quadrant goes up and right, sharply turns at the approximate point (−5, 3.5), goes down and right, passes through the open point (−4, 2), crosses the x-axis at x = −3, ends at the closed point (−2, 1), restarts at the open point (−2, 0), goes down and right, exits the window almost vertically just left of the y-axis, reenters the window almost vertically just right of the y-axis, goes down and right, passes through the open point (1, 2), changes direction at the approximate point (2.2, 0.1), goes up and right, ends at the open point (3, 1), restarts at the open point (3, −1), goes down and right, exits the window almost vertically just left of the vertical dashed line at x = 5, reenters the window just right of the vertical dashed line at x = 5, goes up and right, crosses the x-axis at x = 7, and exits the window in the first quadrant. Consider the following figure.4y = f(x)For each given x-value, use the figure to determine whether the function is continuous or discontinuous at that x-value. If the function is discontinuous, state which of the three conditions that definecontinuity is not satisfied. (Select all that apply.)(a) x = 5O f is continuous.lim_ f(x) does not exist.x-5O f(5) does not exist.lim f(x) + f(5).x-5 (b) x = -4fis continuous.lim f(x) does not exist.x--4f(-4) does not exist.lim f(x) + f(-4).x--4(c) x = 2fis continuous.lim f(x) does not exist.x-2f(2) does not exist.lim f(x) + f(2).x-2(d) x = -2fis continuous.lim f(x) does not exist.X-2f(-2) does not exist.lim f(x) * f(-2).X-2

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The x y-coordinate plane is given. A point, a vertical dashed line, and a function are on the graph.

The point occurs at the point (3, 2).
The vertical dashed line crosses the x-axis at x = 5.
The curve enters the window in the second quadrant goes up and right, sharply turns at the approximate point (−5, 3.5), goes down and right, passes through the open point (−4, 2), crosses the x-axis at x = −3, ends at the closed point (−2, 1), restarts at the open point (−2, 0), goes down and right, exits the window almost vertically just left of the y-axis, reenters the window almost vertically just right of the y-axis, goes down and right, passes through the open point (1, 2), changes direction at the approximate point (2.2, 0.1), goes up and right, ends at the open point (3, 1), restarts at the open point (3, −1), goes down and right, exits the window almost vertically just left of the vertical dashed line at x = 5, reenters the window just right of the vertical dashed line at x = 5, goes up and right, crosses the x-axis at x = 7, and exits the window in the first quadrant.

Consider the following figure.
4
y = f(x)
For each given x-value, use the figure to determine whether the function is continuous or discontinuous at that x-value. If the function is discontinuous, state which of the three conditions that define
continuity is not satisfied. (Select all that apply.)
(a) x = 5
O f is continuous.
lim_ f(x) does not exist.
x-5
O f(5) does not exist.
lim f(x) + f(5).
x-5

(b) x = -4
fis continuous.
lim f(x) does not exist.
x--4
f(-4) does not exist.
lim f(x) + f(-4).
x--4
(c) x = 2
fis continuous.
lim f(x) does not exist.
x-2
f(2) does not exist.
lim f(x) + f(2).
x-2
(d) x = -2
fis continuous.
lim f(x) does not exist.
X-2
f(-2) does not exist.
lim f(x) * f(-2).
X-2

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