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3. Sketch the graph of a function f(x) that satisfies all of the following conditions: (a) The domain of f(x) is (-∞, -1) U (-1, 3) U (3, ∞). (b) f(x) is continuous everywhere except at x = -1, x = 0, and x = 3. (c) lim f(x) = -1.2418 (d) lim f(x) = ∞ as x approaches 0. (e) lim f(x) = -0.20+ as x approaches 1. (f) lim f(x) = 1.2- as x approaches 3. (g) lim f(x) = 4.243+ as x approaches infinity. (h) lim f(x) does not exist. 3. Sketch the graph of a function f(x) that satisfies all of the following conditions: (a) The domain of f(x) is (-∞, -1) U (-1, 3) U (3, ∞). (b) f(x) is continuous everywhere except at x = 1, x = 0, and x = 3. (c) lim f(x) = -1. (d) lim f(x) = ∞ as x approaches 0. (e) lim f(x) = -0.2 as x approaches 1. (f) lim f(x) = 1.2 as x approaches 3. (g) lim f(x) = 4.243 as x approaches infinity. (h) lim f(x) does not exist.

          3. Sketch the graph of a function f(x) that satisfies all of the following conditions:
(a) The domain of f(x) is (-∞, -1) U (-1, 3) U (3, ∞).
(b) f(x) is continuous everywhere except at x = -1, x = 0, and x = 3.
(c) lim f(x) = -1.2418
(d) lim f(x) = ∞ as x approaches 0.
(e) lim f(x) = -0.20+ as x approaches 1.
(f) lim f(x) = 1.2- as x approaches 3.
(g) lim f(x) = 4.243+ as x approaches infinity.
(h) lim f(x) does not exist.

3. Sketch the graph of a function f(x) that satisfies all of the following conditions:
(a) The domain of f(x) is (-∞, -1) U (-1, 3) U (3, ∞).
(b) f(x) is continuous everywhere except at x = 1, x = 0, and x = 3.
(c) lim f(x) = -1.
(d) lim f(x) = ∞ as x approaches 0.
(e) lim f(x) = -0.2 as x approaches 1.
(f) lim f(x) = 1.2 as x approaches 3.
(g) lim f(x) = 4.243 as x approaches infinity.
(h) lim f(x) does not exist.

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3 sketch the graph of a function fx that satisfies all of the following conditions a the domain of fx is 1 u 1 3 u 3 b fx is continuous everywhere except at x 1 x 0 and x 3 c lim fx 12418 d 21873

Added by Margaret A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/11/2023

Step 1

(a) The domain of f(x) is (-∞, -1) U (-1, 3) U (3, ∞). (b) f(x) is continuous everywhere except at x = -1, x = 0, and x = 3. (c) lim f(x) = -1.2418 (d) lim f(x) = ∞ as x approaches 0. (e) lim f(x) = -0.20+ as x approaches 1. (f) lim f(x) = 1.2- as x approaches Show more…

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3. Sketch the graph of a function f(x) that satisfies all of the following conditions: (a) The domain of f(x) is (-∞, -1) U (-1, 3) U (3, ∞). (b) f(x) is continuous everywhere except at x = -1, x = 0, and x = 3. (c) lim f(x) = -1.2418 (d) lim f(x) = ∞ as x approaches 0. (e) lim f(x) = -0.20+ as x approaches 1. (f) lim f(x) = 1.2- as x approaches 3. (g) lim f(x) = 4.243+ as x approaches infinity. (h) lim f(x) does not exist. 3. Sketch the graph of a function f(x) that satisfies all of the following conditions: (a) The domain of f(x) is (-∞, -1) U (-1, 3) U (3, ∞). (b) f(x) is continuous everywhere except at x = 1, x = 0, and x = 3. (c) lim f(x) = -1. (d) lim f(x) = ∞ as x approaches 0. (e) lim f(x) = -0.2 as x approaches 1. (f) lim f(x) = 1.2 as x approaches 3. (g) lim f(x) = 4.243 as x approaches infinity. (h) lim f(x) does not exist.

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Transcript

00:02 Hi you for the given question.

00:04 We are given some condition on the basis of that condition.

00:07 We need to sketch the graph.

00:09 So here the first condition says that f of x is equal to x square minus a x if x less than 2.

00:17 So here this condition says that the given function defines this curve when x is less than 2 now here in our case further limit x tends to infinity or f of x is equal to 3.

00:38 So here this limit tends to infinity if x approaches towards the 3 left.

00:45 So here for this limit the value is infinity.

00:49 So here further the next given condition is limit x tends to 3 for given f of x value is minus infinity further f of 0 is equal to 1 f of 3 is equal to 4.

01:09 This implies there is a point of 0 comma 1 on the graph.

01:12 Similarly, there is a point of 3 comma 4 on the graph.

01:17 Now further the next given condition to us in the question is here in our case the value of limit extends to minus infinity f of x is equal to minus infinity and the value of limit extends to plus infinity is equal to 1.

01:47 So these are the given condition now here on the basis of the given condition.

01:51 We know that here we can sketch a graph as here let this be our x -axis.

02:01 This is our y -axis.

02:05 This is positive and this is y negative now here...

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