SOLUTION: i have to graph an open sentence its for absolute value. i know that if i have /x/=3 this is is x=3 or x=-3 but how do i graph y=2/x+4/ its y=2x+4 or ???

Question 729979: i have to graph an open sentence its for absolute value. i know that if i have /x/=3 this is is x=3 or x=-3 but how do i graph y=2/x+4/ its y=2x+4 or ???
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The variable expression, x+4, may be either positive or negative, depending on the value of x.

When , is or . You must restrict the graph of this line to satisfy which is .

When , is , or , or . You must restrict the graph of this line to satisfy which is .

IN CASE OF CONTINUED DIFFICULTY:
The absolute value of an expression requires simple but careful attention to logic. |x+4| will always be positive or zero. NEVER Negative.
If x+4=0>0, then |x+4|=x+4.
If x+4<0, then |x+4|=-(x+4)=-x-4.
Really that is based on the meaning of absolute value.
For any variable, v, we can consider how far is v from zero on the number line. |v| is the distance from zero on the number line. v is a variable, so by itself, we do not know its value; but |v| is equal to v if , and |v| is equal to -v if .
Drawing a number line makes this easier to SEE.
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