243x Consider the expression above where x represents a real

2^43|x|

Consider the expression above, where x represents a real number. Describe the structure of the expression, and what do you know about the values and behavior of this expression based on its algebraic structure? List as many things as you can think of.

Solution

Here the expression contains aboslute value function |x|, which is alaways postive.

The entire expression is always postive when x is between -8 and 8.

The entire expression is negative when x is larger than 8 or less than -8.

The expression becomes zero when x is -8 or 8.