1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirza4 [7]
2 years ago
12

1. Match the polynomial with its end behavior.

Mathematics
1 answer:
zlopas [31]2 years ago
6 0

Using limit concepts, the matching pairs are:

A - 3

B - 1

C - 2

D - 4

The end behavior of a function f(x) is given by it's <u>limit as x goes to infinity.</u>

Function A:

f(x) = -2x + 3, then:

\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -2x = -2(-\infty) = \infty

\lim_{x \rightarrow \infty} f(x) \lim_{x \rightarrow -\infty} -2x = -2(\infty) = -\infty

Thus, inverse directions, so matching pair with 3.

Function B:

f(x) = x^2 - 6x + 3, then:

\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} x^2 = (-\infty)^2 = \infty

\lim_{x \rightarrow \infty} f(x) \lim_{x \rightarrow -\infty} x^2 = (\infty)^2 = \infty

Always positive, so matching pair with 1.

Function C:

f(x) = 1 - x^2 + 2x^3, then:

\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 2x^3 = 2(-\infty)^3 = -\infty

\lim_{x \rightarrow \infty} f(x) \lim_{x \rightarrow -\infty} 2x^3 = 2(\infty)^3 = \infty

Same directions, thus, matching pair with 2.

Function D:

f(x) = 7 - x^4, then:

\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -x^4 = -(-\infty)^4 = -\infty

\lim_{x \rightarrow \infty} f(x) \lim_{x \rightarrow -\infty} -x^4 = -(\infty)^4 = -\infty

Always negative, so matching pair with 4.

A similar problem is given at brainly.com/question/9368215

You might be interested in
I need help with my homework​
labwork [276]

Answer:

No

Step-by-step explanation:

3 0
3 years ago
Choose the correct simplification of the expression 3b/a-2
Goshia [24]
To solving with their equation and expression to step by step.

3b/a-2

= -2a+3b/a


4 0
3 years ago
Read 2 more answers
1. A pyramid with a square base has fixed volume. The height, t, varies inversely as the
Natali [406]

Answer:

ooooooooooooooooof

Step-by-step explanation:

5 0
3 years ago
3)Find the GCF and LCM of 10 and 28. Show your work.<br><br> HELP LAST QUESTION!!!!!
soldier1979 [14.2K]

Answer:

GCF=2 LCM=140

Step-by-step explanation:

8 0
3 years ago
Marilee buys 8 bottles of apple juice for $10.What is the unit price of each bottle
Klio2033 [76]

Answer:

$1.25

Step-by-step explanation:

divide 10/8

equals $1.25

1.25x8=$ 10

5 0
3 years ago
Read 2 more answers
Other questions:
  • 15 POINTS please help! How many zeros will be in the product of 5 x 105 = ________? Explain how you know.
    7·2 answers
  • Choose the correct molecular geometry of the phosphorus atom in each of these ions from the list below: A) square plane B) T-sha
    15·1 answer
  • Is 52 ft bigger than 912 in
    6·2 answers
  • [(5^2)^2]^2<br>how to do this​
    11·2 answers
  • You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At F
    11·1 answer
  • Help I will give brainliest
    12·1 answer
  • Answer?? please i need this
    13·1 answer
  • What is the singular multiplier for 35%
    10·1 answer
  • A health food store makes trail mix using dried fruit and nuts. The cost of the dried fruit is $2.50 per
    14·2 answers
  • -5X^2 + 3X = -3X^2 + 3X - 50  solve for x ​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!