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
Goshia [24]
3 years ago
11

Graph the piecewise-defined function.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer:

We are asked to find which graph represents the graph of the piecewise-defined function g(x) given as:

g(x)= x^2-4   ;  if  x < -1

            1       ;   if  -1≤ x ≤ 1

   and   x^2+4   ; if x>1

i.e. in the region (-∞,-1) we will get a graph of a quadratic function x^2-4.

in the region [-1,1] we will get a straight line y=1.

and the region (1,∞) again we will get a graph of a quadratic function x^2+4.

Also the graph of the function is discontinuous at 1 and -1.

since the limit of the function at x=-1 and at x=1 does not exist.

As at x=-1.

Left hand limit= -3   (x^2-4; at x=-1 gives -3)

and right hand limit =1.

Whereas at x=1.

left hand limit=1

and right hand limit=5    ( x^2+4=1+4 )

You might be interested in
Which graph models the equation 4x + 2y = 8?
TEA [102]

The answer is:



(Graph Below)

4x+2y=8


6 0
3 years ago
How could you prove there are 180° in any triangle?
klemol [59]
If we add the interior and the exterior of the corner of a triangle we always get 180 degree
5 0
3 years ago
Which one the answer?
kifflom [539]
D. Hope this helps ;)
5 0
3 years ago
SOLVE THE EQUATION<br> −9(x + 6) + 60 = 13 − 10x
yuradex [85]

Answer:

x=7

Step-by-step explanation:

−9(x + 6) + 60 = 13 − 10x

Distribute

−9x -54 + 60 = 13 − 10x

Combine like terms

-9x +6 = 13 -10x

Add 10x to each side

-9x+10x +6 = 13-10x+10x

x +6 = 13

Subtract 6 from each side

x+6-6=13-6

x = 7

7 0
3 years ago
What is 18+ (8+4-9)= Please show step by step
8_murik_8 [283]
Answer: 21

Reasoning:

5 0
3 years ago
Read 2 more answers
Other questions:
  • /////////////////////////////////////////////////
    7·1 answer
  • 1 table cost $50 more than a chair.Both women had the same amount of money at first.how much did a table cost?
    7·1 answer
  • 5+3r=5r-19? what is the answer need help!
    10·2 answers
  • Attached is a screenshot of another problem I am having issues with. please please please help me
    10·1 answer
  • How to solve r/10+4=5
    5·2 answers
  • What equation is equivalent to 3(2x-5)=4(x+3)
    14·2 answers
  • A customer bought a car and paid $1,080 in sales tax.
    7·2 answers
  • Use the following to write and solve a proportion to find the values of X, Y and Z. ​
    7·1 answer
  • PLEASE HELP ME im not sure which ones i think its the first one but not sure about the rest
    12·1 answer
  • Tony is a salesperson who earns $560 per week plus $60 for each sale he makes. This week, he wants to earn at least $920. Write
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!