Explain why the function is discontinuous at the given number
1 answer:
Answer:
left limit = 2 ≠ 1/2 = right limit
Step-by-step explanation:
A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.
Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.
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A) We know that
where d
= distance,
v = velocity,
t = time
In this case, d = 2 mi., t = 30 min. So we get
Dividing both sides by 30, we get
Thus a function for his walk would be
where y = distance and x = number of minutes he walks.
b) Domain of a function is a set of x-values on which the function defined. In this case, the number of minutes is 30 at maximum. So the domain of the function is [0, 30].
where d
v = velocity,
t = time
In this case, d = 2 mi., t = 30 min. So we get
Dividing both sides by 30, we get
Thus a function for his walk would be
where y = distance and x = number of minutes he walks.
b) Domain of a function is a set of x-values on which the function defined. In this case, the number of minutes is 30 at maximum. So the domain of the function is [0, 30].