# Piecewise Defined Functions Questions and Answers

Recent questions in Piecewise-Defined Functions
melasamtk 2022-08-19

### find all function values f(x) such that the distance from f(x) to the value 8 is less than 0.03 units. Express this using absolute value notation.

Yareli Bowman 2022-08-18

### Write the transformations and by how many units for each absolute value function.f(x)=|x-2|Transformation:f(x)=|x|=3Transformation:

ghettoking6q 2022-08-04

2022-03-16

### Solve the absolute value inequality 2|3x+9|<18.

William Curry 2021-12-19

### Solve absolute value inequality. |2x-6|<8

fertilizeki 2021-12-19

### Solve absolute value inequality. |3(x-1)/4|<6

Jason Yuhas 2021-12-19

### Solve absolute value equation or indicate the equation has no solution. |x+1|=5

Margie Marx 2021-12-19

### Solve absolute value equation or indicate the equation has no solution. |2x - 1 | + 3 = 3

nemired9 2021-12-18

### Solve absolute value inequality. -2|5-x|<-6

fertilizeki 2021-12-18

### When 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use interval notation to express the set of all numbers that satisfy this condition.

Talamancoeb 2021-12-18

### Find the absolute maximum and absolute minimum values of f on the given interval. $f\left(x\right)=2{x}^{3}-6{x}^{2}-18x+9,\left[-2,4\right]$ absolute minimum value absolute maximum value

Krzychau1 2021-12-17

### Solve absolute value inequality. $4+|3-\frac{x}{3}|\ge 9$

quiquenobi2v6 2021-12-17

### Solve absolute value inequality : 5>|4-x|

kramtus51 2021-12-17

### Solve absolute value inequality. $3\le |2x-1|$

Salvatore Boone 2021-12-17

### Solve absolute value inequality. $-3|x+7|\ge -27$

Anne Wacker 2021-12-17

### Why is 1 not considered a prime number? Or, why is the definition of prime numbers given for integers greater than 1?

quiquenobi2v6 2021-12-16

### Solve absolute value equation or indicate the equation has no solution. |x+1|+6=2

kloseyq 2021-12-16

### Solve absolute value inequality. |3x+5|<17

Tiffany Russell 2021-12-16

### What is the logical first step in solving the equation |2x-1|=5?

killjoy1990xb9 2021-12-15

### Solve absolute value inequality. $|x-1|\ge 2$

Starting with a classic piecewise defined function equation, do not forget that some questions will represent a word problem. As a rule, it often makes things complex because a piecewise defined function solver alone cannot handle it all. The only solution that will help you find answers to your questions based on such an algebraic equation is the use of logic. Consider taking a look at various piecewise defined function questions and see how these are always transformed from a word problem to a graph or an equation. This transformation is the key to a successful understanding of functions.