Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from th e left, or neither. f(x) = x + 9 if x < 0
e^x if 0 ≤ x ≤ 1
4 − x if x > 1
x = (smaller value)
continuous from the right, or continuous from the left, or neither
x = (larger value)
continuous from the right, or continuous from the left, or neither
1 answer:
Using continuity concepts, the answers are given by:
The function is right-continuous at x = 0. The function is left-continuous at x = 1. ------------------------------------
A function f(x) is continuous at x = a if:
If , the function is left-continuous. If , the function is right-continuous. For the given function, the continuity is tested at the points in which the definitions are changed, x = 0 and x = 1. ------------------------------------
At x = 0.
Approaching from the left , it is less than 0, thus:
Approaching from the right, it is more than 0, thus:
Since , the function is right-continuous at x = 0. ------------------------------------
At x = 1.
Since , the function is left-continuous at x = 0. A similar problem is given at brainly.com/question/21447009
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