Question

Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2?
A.graph of 2 x minus 4, with discontinuity at negative 1, negative 6
B.graph of 2 x minus 4, with discontinuity at 1, negative 2
C.graph of 2 x plus 2, with discontinuity at negative 1, 0
D.graph of 2 x plus 2, with discontinuity at 1, 4

Answer 1

@satellite73 @princeharryyy @FEARLESS_JOCEY @welshfella @Etrainx

Answer 2

4x^2 - 4x - 8
------------
2x + 2

Answer 3

yes

Answer 4

wait what

Answer 5

this simplifies to a linear function

Answer 6

so its graph will be a straight line

Answer 7

it simplifies to

4 ( x + 1)(x - 2)
-------------
2(x + 1)

= 4(x - 2) / 2
= 2(x - 2)

Answer 8

= 2x - 4

where will the discontinuities be?

Answer 9

- sorry theres just one discontinuity

Answer 10

although it simplifies to a linear function and the graph will be a line except, because it is a fraction there will be a point where there is no value for f(x) and it can be represented on the graph by a small open circle.

Answer 11

- this is called a 'hole' in the graph
This one is confusing me a little because the way to find holes is to set the factor common to top and bottom of the fraction to zero and solve for x
in this case the factor is x + 1
x + 1 = 0 so x = -1

that is a hole at x = -1

Answer 12

and corresponding value of f(x) = -6

oh OK - i got confused That is the answer

B

Answer 13

drat

I meant A