Which of the following functions have graphs that contain no asymptotes? select all that apply
Answers
Answer:
The power function and the root function
Step-by-step explanation:
Let's consider each function in turn.
Power function
y = xⁿ
For every value of x, there is a corresponding value of y.
There are no asymptotes.
Reciprocal
y = 1/x
The y-axis is an asymptote, because x cannot equal 0. y ⟶ ∞ as x ⟶ 0₊ and y ⟶ -∞ as x ⟶ 0₋
Similarly, the x-axis is an asymptote, because there is no finite value of x for which y = 0.
Exponential
The x-axis is an asymptote, because y can never be negativeand y ⟶ 0
as x ⟶ -∞.
Logarithmic
The y-axis is an asymptote, because x cannot be negative and logx ⟶ -∞ as x ⟶ 0.
Root
y = \sqrt[5]{x}
There can be no negative value of x, but there is a value of y for every positive value of x.
Thus, there is no asymptote.
The power function and the root function have no asymptotes.
Answer:
Step-by-step explanation:
The graph of the power function has no asymptotes. Check this one.
The graph of the reciprocal function DOES have asymptotes, both vertical and horizontal. Do not check this function.
The graph of an exponential function has one asymptote, which is the line y = 0 (that is, the x-axis). Do not check this function.
The graph of a log function has one asymptote, which is the line x = 0 (that is, the y-axis). Do not check this function.
The root function does not have asymptotes. Check this function.
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Answers
Answers
Answer:
Gay.
Step-by-step explanation:
I means gay, some people just refer to that but most commonly known as 'gay'.
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equations
solving the system of the equations
Arrange the equation variables for elimination
solve
Divide both sides by -3
Therefore, the solutions to the system of the equations are:
But, it seems none of the options is true.
Answer:
A. (2, -22)
Step-by-step explanation:
I just took the test and i got a one hundred! I really hope it helped!!!!
Answers
B. w-2/w+4
C. w+2/w-4
D. w-2/w-4
Answers
w²+5w+6 (w+3)(w+2) w+2
------------ = ------------------ = ----------
w²-w-12 (w-4)(w+3 w-4
answer is C. w+2/w-4
Answer:
C
Step-by-step explanation:
Answers
Final answer:
The solution to the inequality 'Twice the sum of 4 and x is less than -16' is x < -12.
Explanation:
The given question is asking to solve the inequality 'Twice the sum of 4 and x is less than -16'. Let's break it down step by step:
- Twice the sum of 4 and x can be written as 2(4 + x).
- Now, we need to express this expression as less than -16, which gives us the following inequality: 2(4 + x) < -16.
- We can simplify the inequality by first multiplying 2 with 4 + x to get 8 + 2x, and then we have 8 + 2x < -16.
- To isolate the variable x, we subtract 8 from both sides: 2x < -16 - 8, which gives 2x < -24.
- Finally, we divide both sides of the inequality by 2 to get x < -12.
Therefore, the solution to the inequality is x < -12.
Learn more about Inequality here:
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