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BREAK CONTINUOUS JUMP VERTICAL ASYMPTOTE

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

TRIG FUNCTION
 f(x)=tanxf\left(x\right)=\tan x  

Graph of  f(x)f\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

2.

GREATEST INTEGER FUNCTION
 f(x)=[ [ x3 ] ]f\left(x\right)=\left[\ \left[\ x-3\ \right]\ \right]  

Graph of  f(x)f\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

3.

POLYNOMIAL FUNCTION
 P(x)=3 x212 x+29P\left(x\right)=3\ x^2-12\ x+29  

Graph of  P(x)P\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

4.

RATIONAL FUNCTION
 R(x)=x2144x12R\left(x\right)=\frac{x^2-144}{x-12}  

Graph of  R(x)R\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

5.

TRIG FUNCTION
 f(x)=cosxf\left(x\right)=\cos x  

Graph of  f(x)f\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

6.

FUNCTION
 f(x)=x13x13f\left(x\right)=\frac{\left|x-13\right|}{x-13}  

Graph of  f(x)f\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

7.

RATIONAL FUNCTION
 R(x)=x8x2+64R\left(x\right)=\frac{x-8}{x^2+64}  

Graph of  R(x)R\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

8.

PIECEWISE FUNCTION  f(x)f\left(x\right)  

 x2+4 , x3x^2+4\ ,\ x\ge3  
 5 x2 , x<35\ x-2\ ,\ x<3  

Graph of  f\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

9.

RATIONAL FUNCTION
 R(x)=x64x8R\left(x\right)=\frac{x-64}{x-8}  

Graph of  R(x)R\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

10.

PIECEWISE FUNCTION  f(x)f\left(x\right)  

 3 x2+7 x +8 , x 23\ x^2+7\ x\ +8\ ,\ x\ge-\ 2  
 28+9 x4 x2 , x< 228+9\ x-4\ x^2\ ,\ x<-\ 2  

Graph of  f\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

11.

RATIONAL FUNCTION
 R(x)=x2x2+4 x12R\left(x\right)=\frac{x-2}{x^2+4\ x-12}  

Graph of  R(x)R\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)

12.

FUNCTION
 f(x)=x10f\left(x\right)=\left|x-10\right|  

Graph of  f(x)f\left(x\right)  

a)

Break(s)

b)

Continuous

c)

Jump(s)

d)

Vertical Asymptote(s)