Learn How to Solve Piecewise Functions Examples

High School
Algebra
Algebra I
Piecewise-Defined Functions

Recent questions in Piecewise-Defined Functions

Falak Kinney 2021-03-18

Write each expression without using absolute value symbols.
$| 0 |$

Alyce Wilkinson 2021-03-11

An absolute value function with a vertex of (4,14) is negative on the interval $(- \infty, - 2)$ .
On what other interval is the function negative?

tricotasu 2021-03-09

Given the piecewise function below, select all of the statements that are true.
$f (x) = {- x + 1, x < 0} {- 2, x = 0} {x^{2} - 1, x > 0}$
A. $f (4) = 7$
B. $f (- 1) = 2$
C. $f (1) = 0$
D. $f (- 2) = 0$

djeljenike 2021-03-09

Rewrite expression without absolute value bars.
$| \sqrt{5} - 13 |$

permaneceerc 2021-03-09

Find the absolute maximum and absolute minimum values of f on the given interval.
$f (x) = 5 + 54 x - 2 x^{3}, x \in [0, 4]$

Lewis Harvey 2021-03-08

Write properties absolute value.

vestirme4 2021-03-07

Rewrite the expression without using the absolute value symbol.
$| 3 x - 5 |$ if $x \geq \frac{5}{3}$

usagirl007A 2021-03-06

Find the absolute maximum and absolute minimum values of function on the given interval.
$f (x) = 5 + 54 x - 2 x^{3}, [0, 4]$

usagirl007A 2021-03-06

Solve.
Absolute value of $2 x + 4$ is greater than 6

pedzenekO 2021-03-04

Need to calculate:The value of G(0) for the function $G (x) = {\begin{cases} x - 5 i f x \leq - 1 \\ x i f ≻ 1 \end{cases}$

CheemnCatelvew 2021-03-02

Could you explain how to solve the given type of problem.
(c)Absolute value equation: $| 2 x - 5 | = 7$

sodni3 2021-02-25

Solve absolute value inequality.
$| 2 (x - 1) + 4 | \leq 8$

melodykap 2021-02-25

The function $f (x) = 4 - 7 x^{4}$ has an absolute maximum value of ? and this occurs at x equals ?

coexpennan 2021-02-24

For each of the piecewise-defined functions, determine whether or not the function is one-to-one, and if it is, determine its inverse function.
$f (x) = {\begin{array}{cc} x & w h e n x < 0 \\ 2 x & w h e n x \geq 0 \end{array}$

Alyce Wilkinson 2021-02-23

Find the absolute value of the following:
(b) $| 0 |$

Kyran Hudson 2021-02-22

Express the interval in terms of an inequality involving absolute value.
(0,4)

texelaare 2021-02-22

Express each of the following pairs of signed numbers as absolute values and subtract the smaller absolute value from the larger absolute value.
f.-33,7,-29.7

Tabansi 2021-02-21

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
-3.6 and -1.4

Reeves 2021-02-21

Find the value of x that satisfies the inequality.
$| x - 5 | < 9$

bobbie71G 2021-02-19

Need to calculate: The value of F(3) for the function $F (x) = {\begin{cases} 2 x i f x < 3 \\ - 5 x i f x \geq 3 \end{cases}$

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.

Algebra I

Ask and Answer Piecewise Defined Function Questions