Which function displays this end behavior?
• As xapproaches negative infinity, y approaches positive infinity.
• As xapproaches positive infinity, yapproaches negative infinity.
A.) y = (x+ 2)^3 -9
B.) y = -2x^3-1
C.) y = -3x^3 + 4
D.) y = 3(x-1)^2

The functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches  -∞ are:

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

Testing all the four functions listed for x tending to -∞ or ∞:

1. For x approaching -∞

[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} ((x+2)^3 - 9) = -9 + lim_{x \rightarrow -\infty} ((x+2)^3) \rightarrow - \infty[/tex]

(since cube of negative quantity is going to be negative)

Thus, function also tends to -∞. So this function doesn't satisfy first case, thus, we don't need to test other case as only that function is needed which can satisfy both the cases.

1. For x approaching -∞

[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow -\infty} (-2x^3) \rightarrow \infty[/tex]

(this time, negative sign was canceled by outer negative. So function approaches positive infinity as x approaches negative infinity.

2.  For x approaching ∞

[tex]lim_{x \rightarrow \infty} (y) = lim_{x \rightarrow \infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow \infty} (-2x^3) \rightarrow -\infty[/tex]

So function approaches negative infinity as x approaches positive infinity

Thus, the considered function behaves as needed.

Similar to above cases, we can see that negative sign and cube power will make this function go to positive infinity as x approaches negative infinity, and as x approaches positive infinity, the function will approach negative infinity.

Remember that finite constants added or subtracted from arbitrary large quantities(positive or negative infinity) can't affect them.

Here x is in square power, no matter if x approaches +ve or -ve infinity, the square term would make it positive. So this function cannot approach negative infinity.

Thus, only Option B and C are performing as needed. Therefore, the functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches  -∞ are:

Learn more about limiting values of a function here:

https://brainly.com/question/13146225

Answer: y=-2x^-1

Step-by-step explanation:

Ava plays on the softball team at her school. The team won 8 of its first 12 games. At that rate, how many games will Ava's team win if it plays 60 games in all?

Find f(-2) for f(x) = 3 • 2x

Express 76.5% as a decimal and a fraction

Please give me the correct answer ​

Fasssssssst neeeeeed answer

Fill in the blanks for the explicit formula.
-8, 22, 52, 82, ...

a rental car company charges drivers a flat fee to rent a car plus $0.25 for each mile they drive. If a drivers pays $100 drives 160 miles , which equation can he use to find his total cost y in terms of the number of miles driven ?

Which of the following expressions are equivalent? I. 10(k + 4) II. 10k + 40 III. 5(2k + 8)
2 points
A) I and II only
B) I and III only
C) II and III only
D) I, II, and III

Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When cis
the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the
current).

8/5-c - 8/5+c

Find the difference in simplest form.

Identify the following parasite provided and draw a large labelled diagram of each
specimen​

what is the product in simplest form? -8/9 times 5/6 All the ANSWERS:
-1
-13/15
-20/27
-1/5

When the correlation between x and y is zero, what is the best prediction of a y score that can be made from a given x score?

Add. Express each sum in simplest form : 5/9+1/2

Find (x + 3) (x^2 – 2x – 8).

Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?

Write an integer for:
13° below zero

multiply .035 times a power of ten so that the product is greater than 1 but less than 100​

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would be less than 3245 miles

Please hurry I need this fast

8z - 13 = 5z + 8 The Zs are variables ​

Find the average rate of change for the given function
from x = -1 to x = 5. (4 points)


NEED EXPLAINING THX

At time T equals zero, water begins to drip out of the pipe into an empty bucket. After 42 minutes, there are 6 inches of water in the bucket. Right Ellen air function rule to model how many inches of water W are in the bucket after any number of minutes T.

Please help me solve this question will give you braisnlt !

what is the percent of decrease from 4 to 1

If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)

A plumber charges $80 for a house call and $25 per hour for his services. Which of the following is a linear model of his charges.

19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =


Use PEMDAS for this.

Also it's a made up question

What is cos 30°?
O A
B. 1
OC
-IS
OD
O
E.
O EV3

Write the equation of the line that is parallel to the original equation and passes through the point
(12, 6).

HELP FAST WILL MARK BRAINLYEST