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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 )

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Answer:

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Step-by-step explanation:

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11111nata11111 [884]

Answer:

6

Step-by-step explanation:

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3 years ago
Read 2 more answers
In an experiment, a ball is drawn from an urn containing 12 purple balls and 13 green balls. If the ball is purple, two coins ar
UNO [17]

Answer:

4 elements of the sample space will have a purple ball

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Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

Number of purple balls = 12, number of green balls = 13, total number of balls = 12+13 = 25

Probability (a ball drawn is purple) = 12/25

If a purple ball is drawn, two coins are tossed

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2 coins have 2×2 = 4 elements

Probability (a ball drawn is not purple) = 1 - 12/25 = (25-12)/25 = 13/25

If a ball drawn is not purple, three coins are tossed

1 coin has 2 elements

3 coins have 3×2 = 6 elements

Total elements = 4 + 6= 10 elements

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2 years ago
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Answer:

20°

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