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MissTica
3 years ago
8

Which description compares the vertical asymptotes of function A and function B correctly?

Mathematics
1 answer:
neonofarm [45]3 years ago
8 0

Answer:

Option B:

Function A has a vertical asymptote at x = 1

Function B has a vertical asymptote at x = -3

Step-by-step explanation:

A function f(x) has a vertical asymptote if:

\lim_{x \to\\k^+}f(x) = \±\infty\\\\ \lim_{x \to\\k^-}f(x) = \±\infty

This means that if there is a value k for which f(x) has infinity or a -infinity then x = k is a vertical asymptote of f(x). Therefore, the closer x to k approaches, the closer the function becomes to infinity.

We can calculate the asymptote for function A.

\lim_{x \to \\1^+}(\frac{1}{x-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{1^-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{0}) = \infty\\\\and\\ \lim_{x \to \\1^-}(\frac{1}{x-1})\\\\\lim_{x \to \\1^-}(\frac{1}{0}) = -\infty

Then, function A has a vertical asymptote at x = 1.

The asymptote of function B can be easily observed in the graph. Note that the function b is not defined for x = -3 and when x is closest to -3, f(x) approaches infinity.

Therefore x = -3 is asintota of function B.

Therefore the correct answer is option B.

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the domain of the function graphed above of

F,IF,B,5

Answer: 909.0

7 0
3 years ago
I really need help with this my deadline is very soon​
Harman [31]

Answer:

(3)\ y = -x

(5)\ y = -3x -2

Step-by-step explanation:

Required

The equation in slope intercept form

Solving (3):

m = -1

(x_1,y_1) =(4,-4)

The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -1(x - 4) -4

Expand

y = -x + 4 -4

y = -x

Solving (5):

m = -3

(x_1,y_1) = (1,-5)

The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -3(x - 1) - 5

Expand

y = -3x + 3 - 5

y = -3x -2

8 0
2 years ago
Someone please help!!! This is due tonight!! I’ll give brainliest
3241004551 [841]

Answer:

($0.5 x 2) + ($1.25 x 3) + ($0.75 x 3) = $7

6 0
3 years ago
Read 2 more answers
What is <br> 2x+y=-4<br> step by step please and i will give you 44 points for this!!!
Anni [7]

Answer: 0=0

Step-by-step explanation:

First you want to solve for x

2x+y=−4

Step 1: Add -y to both sides.

2x + y + −y =−4+ −y

2x=−y−4

Step 2: Divide both sides by 2.

2x/2= -y-4/2

x=-1/2y-2

Then you want to plug in your answer for x into the equation so:

2(-1/2y-2)+y=-4

Step 1: Simplify both sides of the equation.

2(-1/2y-2)+y=-4

(2)( −1/ 2 y)+(2)(−2)+y(Distribute)

−y+−4+y=−4

(−y+y)+(−4)=−4(Combine Like Terms)

−4=−4

−4=−4

Step 2: Add 4 to both sides.

−4+4=−4+4

0=0.

Sorry if this wasn't the answer your looking for. If you need more help I suggest using Ma.th.Pa.pa calculator but with out the periods. Hope you have a good day :)

5 0
3 years ago
A⁵/a³×a⁸ is equal to ​
iris [78.8K]

Answer:

a^10

Step-by-step explanation:

simplify the expression

a^2 x a^8

then calculate the product

a^2 x a^8

= a^10

7 0
3 years ago
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