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sashaice [31]
3 years ago
5

Which of the following functions have graphs that contain no asymptotes? select all that apply

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0

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.

madam [21]3 years ago
5 0

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 <em>no asymptotes.</em>

Reciprocal

y = 1/x

The <em>y-axis is an asymptote</em>, because x cannot equal 0. y ⟶ ∞ as x ⟶ 0₊ and y ⟶ -∞ as x ⟶ 0₋

Similarly, the <em>x-axis is an asymptote,</em> because there is no finite value of x for which y = 0.

Exponential

y = b^{x}

The <em>x-axis is an asymptote</em>, because y can never be negativeand y ⟶ 0

as x ⟶ -∞.

Logarithmic

y = \text{log}_{b}(x)

The <em>y-axis is an asymptote</em>, 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.

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ikadub [295]

Answer:

Step-by-step explanation:

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2 years ago
Karina needs a total score of at least 627 on three games of bowling to break the league record. Suppose she bowls 222 on her fi
irga5000 [103]
X+y+z≥627
x=222
y=194

222+194+z≥627
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3 0
2 years ago
PLS HELP!! WILL GIVE YOU BRAINLEST
prisoha [69]

Answer:

y=0x+3

y=3x-11

2,11

Step-by-step explanation:

This is the answer I know. let me know if I'm wrong

6 0
3 years ago
Read 2 more answers
A robin perched in a tree 40 feet above sea level. Directly below the robin, a seagull is flying 13 feet above sea level. Direct
katrin [286]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete. However, I'll solve on a general terms.

Since the robin, seagull and fish are on directly below one another; a possible question could be to calculate the distance between the robin and the clownfish

The given parameters are:

Robin = +40ft

Seagull= +13ft

Clownfish= -33ft

+ represents above sea level while i represents below

The distance is then calculated as:

Distance = Robin - Clownfish

Distance = +40ft - (-33ft)

Distance = +40ft +33ft

Distance = 73\ ft

7 0
2 years ago
Is any of this right?
dolphi86 [110]

3, 5, and 6 are incorrect.

In number 3, you have all the steps correct, except for the last one. Instead of adding 19 to 25, you would multiply it, because there is no addition sign in between the absolute value sign and 5^2. Thus making the answer 475.

In number 5, you first square -2. -2 * -2 ( or -2^2) = 4. Next, you square 3. 3 * 3 (3^2) is 9. Then, you subtract 9 from 4 to get -5. The absolute value of -5 is 5, making 5 the answer. Absolute value is kind of like the distance from zero, for instance -5 is 5 units away from 0 and the absolute value can never be a negative number. Thus making 5 the answer.

In number 6, you first solve the parenthesis. 2 - 3 =  -1 and -1 * -1 (-1^2) is 1. Next, you square -3. -3 * -3 (-3^2) = 9. Then, you subtract 1 from 9 to get 8. The absolute value of 8, is 8. Finally, multiply -4 and 8 to get -32. Thus meaning -32 is the answer.

I hope this helps!


5 0
2 years ago
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