Locate the points of discontinuity in the piecewise function shown below.

- (x + 1)2 + 2; -o < x < -1

-+ 2; -1< x< 2

f(1) =

2

< 3 < 00

a

x= -1 and 2

b.

x= 2

c.

x = -1

d.

no points of discontinuity

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Option A.

Step-by-step explanation:

The given question is incomplete, here is the complete question.

Locate the points of discontinuity in the piece-wise function shown below.

f(x) = - (x + 1)² + 2     - ∞ < x < -2

        - x + 2            

Option A. x = -1 nd 2

            B. x = 2

            C. x = -1

            D. no points of discontinuity

Now to get the points of discontinuity we will check it at x = -1 first

For x = -1,

f(-1) = -(-1) + 2 = 3

If -(x+1)²+2 is true for x ≤ (-1)

f(-1) = -[(-1) + 1]² + 2

     = 0 + 2

Here we are getting two values of f(x) at x = (-1)

That means f(x) is not continuous at x = -1.

For x = 2    

For x ≥ 2

Then f(2) =

               = 1

If -x + 2 is true for x ≤ 2

f(2) = -2 + 2

     = 0

Again for x = 2 we are getting two values of f(2)

That clearly speaks that the function is not continuous at x = 2.

Therefore, option A is correct.

the answer is. -82562234434584

step-by-step explanation:

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.