Absolute value/piecewise expression?

I need just a little help getting started on this one. The directions say to write the absolute value expression as a piecewise expression:

y = |4x+1| + 2x – 3

Top 3 Answers

A few days ago

hayharbr

Favorite Answer

Things will change when x = -1/4 since that’s where |4x+1| equals zero. If x >= -1/4, the part in the bars is positive or zero anyway so ignore them and just add like terms: y = 6x – 2

However if x < -1/4 the part inside the bars is negative so its opposite is done, namely -4x - 1. So combine these like terms and get y = -2x - 4

4 years ago

eredia

Absolute fee (in many cases shown as interior parallel vertical lines) are neither beneficial or adverse, they are merely the quantity’s distance far off from 0 on a quantity line. whilst they are manipulated they behave as beneficial numbers. the answer to the 1st issue is 7. (4 +3) the answer to the 2nd issue is 5. (9 – 4). be careful if there’s a adverse sign exterior honestly the fee symbols, meaning take the adverse fee of an absolute quantity.

A few days ago

Anonymous

If x>=-0.25, then y=6x-2

If x<-0.25, then y=-2x-4

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Absolute value/piecewise expression?

Absolute value/piecewise expression?

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