Each piece of this function is continuous on its respective domain (because all polynomials are continuous functions), meaning
• 2 - x exists for all x < -1
• x exists for all -1 ≤ x < 1
• (x - 1)² exists for all x ≥ 1
So this really just leaves the points where the pieces are split up, i.e. x = -1 and x = 1. At both of these points, the two-sided limit exists as long as the one-side limits from both sides exist and are equal to one another.
At x = -1, as I said in my comment, you have
while
But -1 ≠ 3, so the two-sided limit
does not exist. So a = -1 is one of the points you would list.
At x = 1, we have
while
and again the one-sided limits don't match, so this two-sided limit also does not exist, making a = 1 the other answer.
Answer:
Step-by-step explanation:
First rewrite as y
Now swap y and x
Add 8 on both sides.
Divide by 4.
Extract the square root on both sides.
Subtract 3 on both sides.
The rate of change is the decrease in altitude per change in two seconds
If the initial altitude is y ft
Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.
<h3>What is the together rate?</h3>
It is the sum of each separate rate.
In this problem, the rates are given as follows:
Hence:
2x = 63
x = 31.5.
It would take the assistant 31 hours and 30 minutes to do it alone.
More can be learned about the together rate at brainly.com/question/25159431
1 minutes equals 1 where 1 hour equals 60 minutes. From this, an hour is 60 times greater than a minute