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eshaesmot12345
29.08.2019 •
Mathematics
Explain why a rectangular prism composed of two unit cubes has 6 faces how do its dimensions compare to a unit cube
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Ответ:
Ответ:
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.