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 of the following graphs represents the inequality 10x-5y<img src="https://tex.z-dn.net/?f=%5Cleq" id="TexFormula1" title="
puteri [66]

Answer:

1st Graph

Step-by-step explanation:

Edge2020

8 0
2 years ago
What is the HCF of 2 x y and 6 x y?
Neko [114]
<u>(2 x y) </u>is a factor of (6 x y), so it's the highest common factor of both expressions.
4 0
3 years ago
Read 2 more answers
15-9x in written expression
IrinaK [193]

Answer:

Step-by-step explanation:

there u go

7 0
2 years ago
Please help lol i need answer
Ghella [55]

Answer:

c and d

Step-by-step explanation:

bruh you wouldent sbtract 30

6 0
3 years ago
I need an answer for number 8 really quick<br> help me, please!!!
tatyana61 [14]
Easy just divide the first two number by each other and you’ll bet the unit rate
6 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE help Asap please
    12·1 answer
  • Sianna bought 3 pens, 4 notebooks, and a calculator. The calculator cost $25. If x represents the cost of each pen and y represe
    6·2 answers
  • If you could help I would appreciate it I
    8·2 answers
  • 112,338 rounded to nearest 10,000
    6·1 answer
  • I need some Help please :)
    12·1 answer
  • What is 5 divided by 1 4/7
    10·1 answer
  • Determine the value of<br> x isosceles triangle?
    5·1 answer
  • Help me please I need it really quick
    14·1 answer
  • Write y−4=1/2(x−3) in slope-intercept form.
    10·1 answer
  • F(x) = x+3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!