An asymptote is a vertical horizontal or oblique line to which the graph of a function progressively approaches without ever touching it.
To answer this question we observe the graph. All the values of x and y must be identified for which the graph of the function tends to infinity.
It is observed that these values are:
x = -1
x = 3
y = 0
The first two corresponds to the equations of a vertical line. The third corresponds to horizontal line, the axis of x. It can be seen that although the graph of the function is very close to these values, it never "touches" them
Answer:
1) x < 1, x > 9
2) 2 < x ≤ 6, -4 ≤ x < 0
Step-by-step explanation:
1) lx - 5l > 4
x - 5 = 4
x = 9
-(x - 5) = 4
x = -4 + 5 = 1
x < 1, x > 9
3) 1 < lx-1l ≤ 5
1 < x-1 ≤ 5
2 < x ≤ 6
1 < -(x-1) ≤ 5
-5 ≤ x-1 < -1
-4 ≤ x < 0
Answer:
The answer is B) y = Sin(3x)
Step-by-step explanation:
In order to find this, you need to look for how long it takes the period to repeat. This means other than the origin, we need to find the next place that the graph hits y = 0. In this case, it is at 2
/3. Since Sin2
= 0, we need what is inside of the parenthesis to equal 2
.
The only thing that you could multiply 2
/3 by to get 2
m is 3. Therefore, we must have 3x in the original equation.
Option D is the correct answer
A triangle’s angles must add up to 180 to be a proper triangle. Option A, B, and C added up all equal 180, whereas option D only equals 150.
Answer:
Answer is D. Mean decreases and median stays the same
Step-by-step explanation:
First put the amounts in this format
$31, $39, $50, $50, $70, $82
Median (middle of all numbers) is 50
Mean (add all numbers then divide by how many amounts there) is 53.6
Now incorporate the 7th week
$23, $31, $39, $50, $50, $70, $82
Median is still 50
Mean is now 49.28