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Modulus and Functions (Part1)

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

Draw the graph of f(x)= x+2f\left(x\right)=\ \sqrt[]{x}+2  

2.

Domain and Range respectively refere to .... and .... values.

a)

y & y

b)

y & x

c)

x & y

d)

x & x

3.

Modulus means:

a)

Absolute Value

b)

Positive Value

c)

Indefinite Value

d)

Final Value

4.

Solve for x: 2x6x=3\left|2x-6\right|-x=3  

a)

x=1 or x= 9

b)

x=1

c)

x=9 or x=-1

d)

x=9

5.

Solve the inequality: 2x15\left|2x-1\le5\right|  

a)

2x32\le x\le3  

b)

2x3-2\le x\le3  

c)

2x3-2\ge x\le-3  

d)

The inequality has no solution

6.

x+3>1 means:\left|x+3\right|>1\ means:  

a)

x+3>1 & x+3>1x+3>1\ \&\ x+3>-1  

b)

x+3 >1 & x+3 <1x+3\ >1\ \&\ x+3\ <-1  

c)

x+3±1x+3\ge\pm1  

d)

None of the answers are correct

7.

Solve x28x +6 < 6\left|x^2-8x\ +6\right|\ <\ 6   

a)

0 < x < 2 or 6 < x < 8

b)

0 < x <-2 or 6 < x <8

c)

xx\in\infty  

d)

No real solution

8.

Write the domain and range of the graph y = x3y\ =\ x^3  

a)

xR , y >0x\in R\ ,\ y\ >0  

b)

xR , y Rx\in R\ ,\ y\ \in R  

c)

x>0 , y Rx>0\ ,\ y\ \in R  

d)

x >0 , y  >0x\ >0\ ,\ y\ \ >0  

9.

Graph of x\sqrt[]{x}  is known as:

a)

Trigonometric Graph

b)

Radical Graph

c)

Exponetial Graph

d)

Statistical Graph

10.

What is the difference between exponential and logarithm graphs?

a)

Exponential function is given by ƒ(x) = ex, whereas the Logarithmic function is given by g(x) = ln x, and former is the inverse of the latter

b)

Logarithmic function is given by ƒ(x) = ex, whereas the Exponential function is given by g(x) = ln x, and former is the inverse of the latter

c)

Exponential function is given by ƒ(x) = ex, whereas the Logarithmic function is given by g(x) = ln x, and latter is the inverse of the former

d)

Only Dr Mohammadi can answer this question.