Q: What statement holds true for absolute value functions?

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A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.

Yes; your statement is correct.

A false statement.

The statement is false.

It is false because if it is the absolute value of a negative number, the answer would be higher than the original number. |-9|=9

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Neither statement is true. The graph of the absolute value of a function which is always non-negative will be the same as that of the original function and this need not open in any direction. Also, the graph of y = abs[x*(x-1)*(x+2)] is not symmetrical so there is no coefficient which will determine a line of symmetry.

yes

The statement is true.

A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.

Because it farts

Order has to do with the relation of one number to another. Statements like a>b is an ordered statement. Absolute value is the distance that a number is from 0. So the absolute value of 3 is 3, and the absolute value of -3 is 3.

The statement is correct.

absolute value

The statement is true.

Linear

Yes; your statement is correct.

A false statement.