Piecewise Functions Worksheet: Graphing and Critical Thinking, Exercises of Pre-Calculus

Worksheet by Kuta Software LLC. Kuta Software - Infinite Precalculus. Piecewise Functions ... Sketch the graph of each function. 1) f (x) = {-2x - 1, x ≤ 2.

Typology: Exercises

2021/2022

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©n Q2L0`1S6\ WKUuFtTaw mSToifhtjwGaarveR VL^LwCg.I ^ zAAlwlB ^rcisgShNtksW srHe[sfelrPvceldr.O S ZMJajdxel [wNiNt\hq pINnLfjiInDi_tMeU jPvrDepcjaflZcLuDl[uUsy.
Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Piecewise Functions
Name___________________________________
Date________________ Period____
-1-
Sketch the graph of each function.
1) f
(
x
)
=
{
x,x
x,x
x
y





2) f
(
x
)
=
{
,x
x,x
x,x
x
y





3) f
(
x
)
=
{
 x,x
x,x
x,x
x
y





4) g
(
x
)
=
{
,x
(
x
)
,x
x
y





pf3
pf4

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Download Piecewise Functions Worksheet: Graphing and Critical Thinking and more Exercises Pre-Calculus in PDF only on Docsity!

©n Q2L0`1S6\ WKUuFtTaw mSToifhtjwGaarveR VL^LwCg.I ^ zAAlwlB ^rcisgShNtksW srHe[sfelrPvceldr.O S ZMJajdxel [wNiNt\hq pINnLfjiInDi_tMeU jPvrDepcjaflZcLuDl[uUsy. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus

Piecewise Functions

Name___________________________________ Date________________ Period____ -1- Sketch the graph of each function.

  1. f ( x )^ = (^) { xx , ,^ xx  x y                
  2. f ( x )^ = (^) { , x  x ,  x   x , x  x y                
  3. f ( x )^ = (^) {  x , x   x ,  x   x , x  x y                
  4. g ( x )^ = (^) { , x 

( x ), x 

x y                

©C d2n0k1D6X zKlu^tMab `SXoQfStpwOaprseJ vLFLpCR.v l [AqlQlW mrPiGgMhwtjsk Jrqe_sTeErvvreAdQ.t f vMpaYdYeL YwoiBtyhe KIVnvflibnBijtmeY \PfrPe\cWaalbcVuWlwugsK. -2- Worksheet by Kuta Software LLC

5) f ( x )^ = {

x ,^ x  , x  x y                

6) h ( x )^ = {

x , x   x ,^ x  x y                

7) w ( x )^ =

x  ,^ x   x ,  x  x  , x  x y                

8) w ( x )^ =

x  , x 

( x ), x 

x , x  x y                 Critical thinking questions:

9) Write a rule for the sign function s ( n )^ :

s ( n )^ is  when n is negative, + when n is

positive, and  otherwise.

  1. Write a rule for the function shown. x y            

©H R2C0P1x6c WKXugtNaL gSZoxfrtFwVaJrney YL_LhCq.s X TASltlo [rqiNgOhItZsS Ur]edsveYrfvteqdd.w y VMXaqdaed ZwYiatHhJ rIPnKfMihnxi]teaPNr_eGc_aGl]cZuRlAumsv. -2- Worksheet by Kuta Software LLC

5) f ( x )^ = {

x ,^ x  , x  x y                

6) h ( x )^ = {

x , x   x ,^ x  x y                

7) w ( x )^ =

x  ,^ x   x ,  x  x  , x  x y                

8) w ( x )^ =

x  , x 

( x ), x 

x , x  x y                 Critical thinking questions:

9) Write a rule for the sign function s ( n )^ :

s ( n )^ is  when n is negative, + when n is

positive, and  otherwise.

s ( n )^ = {

, n  , n  , n 

  1. Write a rule for the function shown. x y            

f ( x )^ = {

, x   x ,  x  x , x  Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com