Which statements about the hyperbola are true? Check all that apply.
2 answers:
Answer:
True options: 1, 2 and 5
Step-by-step explanation:
From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)
There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.
The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.
The foci are not placed within the rectangular reference box, so this option is false.
The directrices are vertical lines with equations , so this option is true.
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These are 3 questions and 3 answers.
1) Find
Answer: 4.
Explanation:
The expression means the limit as the function f(x) approaches 2 from the right.
Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.
Answer:
To determine each limit you use the function from the side the value of x is being approached.
Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).
Therefore, the limit is - 1.
1) Find
Answer: 4.
Explanation:
The expression means the limit as the function f(x) approaches 2 from the right.
Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.
Answer:
To determine each limit you use the function from the side the value of x is being approached.
Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).
Therefore, the limit is - 1.