The graph of a function f is given. The x y-coordinate plane is given. A curve with 2 parts is graphed.The first part is linear, enters the window in the second quadrant, goes down and right, crosses the x-axis at x = −1, and ends at the open point (0, −1).The second part is linear, begins at the closed point (0, 2), goes down and right, crosses the x-axis at x = 2, and exits the window in the fourth quadrant.Determine whether f is continuous on its domain.continuousnot continuous If it is not continuous on its domain, say why.lim x→0 f(x) ≠ f(0)lim x→0+ f(x) ≠lim x→0− f(x), so lim x→0 f(x) does not exist. The graph has discontinuities at the end points.The graph is continuous on its domain.

The function has the properties, The first part is linear, enters the window in the second…

Answered: The x y-coordinate plane is given. A…

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

Related questions

Question

The graph of a function f is given.

The x y-coordinate plane is given. A curve with 2 parts is graphed.

The first part is linear, enters the window in the second quadrant, goes down and right, crosses the x-axis at x = −1, and ends at the open point (0, −1).
The second part is linear, begins at the closed point (0, 2), goes down and right, crosses the x-axis at x = 2, and exits the window in the fourth quadrant.

Determine whether f is continuous on its domain.

continuous

not continuous

If it is not continuous on its domain, say why.

lim

x→0

f(x) ≠ f(0)

lim

x→0+

f(x) ≠

lim

x→0−