Answer:
Thus both answers are: Positive infinity
Step-by-step explanation:
The Absolute Value
It's the positive magnitude of a number, regardless of its sign, or zero if the number is zero.
Some examples of absolute values are:
[tex]\mid 4 \mid =4[/tex]
[tex]\mid -4 \mid =4[/tex]
[tex]\mid 0 \mid =0[/tex]
[tex]\mid -107.5 \mid =107.5[/tex]
We have the function:
[tex]g(x)=4\mid x-2\mid -3[/tex]
As x approaches negative infinity, the absolute value approaches positive infinity, and the whole expression approaches positive infinity.
As x approaches positive infinity, the absolute value approaches positive infinity, and the whole expression approaches positive infinity.
Thus both answers are: Positive infinity
