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Advanced Math/Continuity of functions involving absolute values

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Expert: Sherman D. - 3/3/2004


Question
Is this funtion continuous at x=0?
f(x) = |x|+|x-1|

My textbook says that it is continuous. I can't agree with it since f(0-0) is not equal to f(0+0). Do you think it is continuous at x=0?

Answer
continuous yes, at zero no.

f(x) = |x| + |x - 1|

plug in values and you get these

(-5,11), (-4,9), (-3,7), (-2,5), (-1,-3), (0,1), (1,0), (2,3), (3,5), (4,7), (5,9)

at y = 1, it is continuous from x = 0 to x = 1, or that is what the graph shows.

For a graph, go to www.quickmath.com, click on Plot under Equations, then type in y = |x| + |x - 1| exactly like that.

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Sherman D.

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I can answer questions dealing in mathematics of all kinds except for Physics and Calculus, but i can answer questions in Pre-Calculus and Chemistry. I can also answer questions in Recipes of all kinds. I can find games cheats/walkthroughs, but i can`t find a specific game online or offline. I can also do history and recipes for alcoholic beverages.

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Mathematics, Recipes, History, and Games.

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High School graduated. I graduated with honors, and i was in Beta Club for a year and a half.

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Principle's list and A and B honor roll in high school only.

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