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Zanzabum
3 years ago
6

Which of the following accurately lists all discontinuities of the function below?

Mathematics
2 answers:
jeka943 years ago
5 0
Checking the <span>discontinuity at point -4
from the left f(-4) = 4
from the right f(-4) = (-4+2)² = (-2)² = 4
∴ The function is continues at -4
</span>
<span>Checking the <span>discontinuity at point -2
from the left f(-2) = </span></span><span><span>(-2+2)² = 0
</span>from the right f(-2) = -(1/2)*(-2)+1 = 2
∴ The function is jump discontinues at -2
</span>
<span>Checking the <span>discontinuity at point 4
from the left f(4) = </span></span><span><span>-(1/2)*4+1 = -1
</span>from the right f(4) = -1
but there no equality in the equation so,
</span><span>∴ The function is discontinues at 4

The correct choice is the second
point </span>discontinuity at x = 4 and jump <span>discontinuity at x = -2</span>



swat323 years ago
3 0
I hope I can show you my scratch paper. anyway, my answer is 
point discontinuity at x=-2
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