For

to be continuous at

, you need to have the limit from either side as

to be the same.


If

and

, then the limit from the right would be

, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation

.
Part (c) is done similarly to part (1). This time, you need to limits from either side as

to match. You have


So,

and

have to satisfy the relation

, or

.
Part (4) is done by solving the system of equations above for

and

. I'll leave that to you, as well as part (5) since that's just drawing your findings.
Answer:
Domain) all x
Range) 1
Step-by-step explanation:
The domain is the x values and the range is the y values
In this case anything could be x, and y can only be 1
Answer:
1. 0.05 is 5%
2. 0.78 is 78%
3. 1.39 is 139%
4. 0.6 is 60%
5. 3.08 is 308%
6. 0.2 is 20%
7. 0.67 is 67%
8. 2.8 is 280%
Step-by-step explanation:
To find the percent if the decimal is given, you have simply multiply the decimal by 100. So,
1. 0.05 is 5%
2. 0.78 is 78%
3. 1.39 is 139%
4. 0.6 is 60%
5. 3.08 is 308%
6. 0.2 is 20%
7. 0.67 is 67%
8. 2.8 is 280%
Answer:
1: 8 2/5
Step-by-step explanation:
4x5=20+3=23
3x5=15+4=19
23+19=42
42/5= 8 2/5
Answer:4/52=1/13
Step-by-step explanation:
The deck has 52 cards and contains 4 aces. When you draw a card, the probability of drawing an ace is 4/52=1/13