For the function g whose graph is shown, find a number a that satisfies the given description.The x y-coordinate plane is given.The function enters the window in the third quadrant, goes up and right becoming more steep, crosses the y-axis at approximately y = −0.5, crosses the x-axis at approximately x = 0.5, goes up and right becoming less steep, and stops at the approximate open point (2, 2.75).The function starts again at the approximate open point (2, 1.75), goes down and right becoming less steep, and stops at the approximate open point (4, 0.5).The functions starts again at the approximate closed point (4, 2.25), goes down and right becoming more steep, passes through the approximate open point (5, 1.75), crosses the x-axis at approximately x = 6.25, and exits the window in the fourth quadrant.(a)lim x→a g(x) does not exist but g(a) is defined.a = (b)lim x→a g(x) exists but g(a) is not defined.a = (c)lim x→a− g(x) and lim x→a+ g(x) both exist but lim x→a g(x) does not exist.smaller valuea= larger valuea= (d)lim x→a+ g(x) = g(a) but lim x→a− g(x) ≠ g(a).a =

Given: The function enters the window in the third quadrant, goes up and right becoming more steep,…

Answered: For the function g whose graph is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For the function g whose graph is shown, find a number a that satisfies the given description.

The x y-coordinate plane is given.

The function enters the window in the third quadrant, goes up and right becoming more steep, crosses the y-axis at approximately y = −0.5, crosses the x-axis at approximately x = 0.5, goes up and right becoming less steep, and stops at the approximate open point (2, 2.75).
The function starts again at the approximate open point (2, 1.75), goes down and right becoming less steep, and stops at the approximate open point (4, 0.5).
The functions starts again at the approximate closed point (4, 2.25), goes down and right becoming more steep, passes through the approximate open point (5, 1.75), crosses the x-axis at approximately x = 6.25, and exits the window in the fourth quadrant.

(a)

lim x→a g(x)

does not exist but g(a) is defined.

a =

(b)

lim x→a g(x)

exists but g(a) is not defined.

a =

(c)

lim x→a⁻ g(x)

and

lim x→a⁺ g(x)

both exist but

lim x→a g(x)

does not exist.

smaller valuea= larger valuea=

(d)

lim x→a⁺ g(x) = g(a)

but

lim x→a⁻ g(x) ≠ g(a).

a =

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