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…

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 8T

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−