Whats the discontinuity of the function f(x) =x^2-3x-28 over x+4

1 answer:

4 0

Factor top
(x-7)(x+4)
we can factor out the (x+4) on top and bottom to get
f(x)=x-7
but wait, don't forget the x+4 (siince we factored it out, there is a hole there)
set that equal to 0
0=x+4
-4=x

evaluate f(-4) in new
f(-4)=-4-7
f(-4)=-11

so the hole is at (-4,-11)
the point of discontinuity is at (-4,-11)

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<h3>Even and odd numbers</h3>

A number greater than 70 but less than 100
Not divisible by 10
Not divisible by 4
Not odd number

A number greater than 70 but less than 100

71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 98

Not odd number

72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98

Not divisible by 10

72, 74, 76, 78, 82, 84, 86, 88, 92, 94, 96, 98

Not divisible by 4

74, 78, 82, 86, 94, 98

Therefore, the numbers which is greater than 70 but less than 100, not divisible by 10, not divisible by 4, not an odd number are 74, 78, 82, 86, 94, 98.

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