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
Nutka1998 [239]
3 years ago
6

Which function is an extended function

Advanced Placement (AP)
1 answer:
likoan [24]3 years ago
6 0

Answer:

D. The last option

Explanation:

You can't divide by 0, so find out when the given function is discontinuous.

\frac{x^3+3x^2-x-3}{x^2-1} =\frac{x^3+3x^2-x-3}{(x+1)(x-1)}

You can see that x is discontinuous at x=-1,1, so find a piecewise function that fill in those gaps.

Plug x=-1,1 into your function to find out what values you need to fill in. But of course it's discontinuous at those points, so plug in a number near x=1 and x=-1. I chose x=-1.1 and x=1.1

f(-1.1)\frac{(-1.1)^3+3(-1.1)^2-(-1.1)-3}{(-1.1)^-1} = 1.9 \approx 2

f(1.1)\frac{(1.1)^3+3(1.1)^2-(1.1)-3}{(1.1)^-1} = 4.1 \approx 4

so we need to fill in 2 at x=-1, and fill in 4 at x=1

You might be interested in
What is encoding failure
Y_Kistochka [10]

Encoding Failure refers to the brain's occasional failure to create a memory link.

7 0
3 years ago
Read 2 more answers
Investors take risk so that their money
quester [9]
All investments involve some degree of risk. In finance, risk refers to the degree of uncertainty and/or potential financial loss inherent in an investment decision. In general, as investment risks rise, investors seek higher returns to compensate themselves for taking such risks.(this was searched)
6 0
3 years ago
Which of the following is associated with the endocrine system?
Anna007 [38]

Answer:

C

Explanation:

7 0
3 years ago
Read 2 more answers
How do fishing gears cause decrease in the population of marine species
Effectus [21]

Answer:

it's not A i got it wrong when i did that

Explanation:

8 0
2 years ago
develop an argument that evaluates the extent to which the various belief systems showed continuity or change over time during t
Zinaida [17]

Answer:

the is lslamic empire that developed the most in the period was the ottoman Empire They used certain disagreements that existed in the area around the mediterranean  

Explanation:

3 0
3 years ago
Other questions:
  • Why is profit necessary?
    14·2 answers
  • Which of the following is NOT true of how computers represent complex information?
    11·1 answer
  • An emergency operations plan delineates
    6·1 answer
  • You are interested in becoming more physically fit, but you find yourself making excuses to get out of jogging most afternoons.
    13·2 answers
  • Fourteen Colorado counties were surveyed to see what percentage of children under 18 were living with their grandparents. The re
    12·2 answers
  • The graph of f(x) = 1/x cos
    7·1 answer
  • What is human geography?
    11·1 answer
  • Why is it important for the bureau of land management to have current land use plans in place?
    7·2 answers
  • What is Aristollean Physical Properties
    15·1 answer
  • Whenever William is put in a tough or challenging situation, he always seems to adapt fairly well. His easy-going nature, which
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!