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REVIEW QUIZ #1

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

What is the domain of y = 3x + 4y\ =\ 3x\ +\ 4  

a)

{x / x> - 4}

b)

{x ? x < - 4}

c)

{x / x \ne 4-4   }

d)

{x / x ϵ\epsilon  R}

2.

What is the range of y = 3x + 4y\ =\ 3x\ +\ 4  

a)

{ y / y = R}

b)

{y/y 3\ne-3  }

c)

{ y / y 5\ne-5  }

d)

{y/y 0\ne0  }

3.

If f(x) = x2  x + 3 f\left(x\right)\ =\ x^2\ -\ x\ +\ 3\  and g(x) = x  1g\left(x\right)\ =\ x\ -\ 1  , then what is f(1)f\left(-1\right)  ?

a)

7-7  

b)

5-5  

c)

5

d)

7

4.

If f(x)= x  3f\left(x\right)=\ x\ -\ 3  and g(x) = x +3g\left(x\right)\ =\ x\ +3  , then ((fg)(x))\left(\left(f\cdot g\right)\left(x\right)\right)  is equal to _______?

a)

x2  9x^2\ -\ 9  

b)

3(x29)3\left(x^2-9\right)  

c)

2x2+92x^2+9  

d)

2x2  92x^2\ -\ 9  

5.

If f(x)=x2x+3f\left(x\right)=x^2-x+3  , g(x)=x+3g\left(x\right)=x+3  and h(x)=x2+3h\left(x\right)=x^2+3  , then f(x)  g(x) f\left(x\right)\ -\ g\left(x\right)\  is equal to __________?

a)

x2+5x+3x^2+5x+3  

b)

x25x+3x^2-5x+3  

c)

x25x3x^2-5x-3  

d)

x2+5x6x^2+5x-6  

6.

If f(x)=3xf\left(x\right)=3x  and g(x)=13xg\left(x\right)=13x  , what is g(f(x))g\left(f\left(x\right)\right)  ?

a)

3x

b)

39x

c)

13x

d)

26x226x^2  

7.

A bus ride costs Php 12 for the first 4 km, and each additional km adds Php 2 to the fare. Use a function to represent the bus fare in terms of the distance  dd   in km. How much should you pay if you would be travelling from Pasay City to Parañaque City their distance is 6 km?

a)

Php 12

b)

Php 14

c)

Php 16

d)

Php 18

8.

Which function best represents this problem; "A teacher will give a Php 100 reward to whoever will be the highest scorer in the exam . How much will he/she give to whoever will be the highest score?

a)

P(x) = 200xP\left(x\right)\ =\ \frac{200}{x}  

b)

P(x) = 100xP\left(x\right)\ =\ \frac{100}{x}  

c)

P(x) = 2002P\left(x\right)\ =\ \frac{200}{2}  

d)

P(x) = 1002P\left(x\right)\ =\ \frac{100}{2}  

9.

Which rational function best represents the problem; " How much would each child receive, If there is Php 100,000 budget for the whole barangay?"

a)

P(x) = 100000xP\left(x\right)\ =\ \frac{100000}{x}  

b)

P(x) =  100000xP\left(x\right)\ =\ -\ \frac{100000}{x}  

c)

P(x) = 100000xP\left(x\right)\ =\ \frac{100000}{-x}  

d)

P(x) = 100000100P\left(x\right)\ =\ \frac{100000}{100}  

10.

Identify the given expression y=(x  1)(x+1)x+3y=\frac{\left(x\ -\ 1\right)\left(x+1\right)}{x+3}  

a)

rational equation

b)

rational inequality

c)

rational function

d)

rational expression

11.

Identify the given expression x1x+3+5=x+5x2\frac{x-1}{x+3}+5=\frac{x+5}{x-2}  ?

a)

rational equation

b)

rational inequality

c)

rational function

d)

rational expression

12.

Identify the given expression (x21)2x+32\frac{\left(x^2-1\right)}{2x+3}\ge2  whether____?

a)

rational equation

b)

rational inequality

c)

rational function

d)

rational expression

13.

Identify the given expression (x1)(x+1)x+2\frac{\left(x-1\right)\left(x+1\right)}{x+2}  whether_______?

a)

rational equation

b)

rational inequality

c)

rational function

d)

rational expression

14.

What is the value of x in the equation 3x+3=4x+1\frac{3}{x+3}=\frac{4}{x+1}  ?

a)

9-9  

b)

3-3  

c)

3

d)

9

15.

Which of the following is not a function?

a)

y=x3 +5y=x^3\ +5  

b)

y2 = 2x + 5y^2\ =\ 2x\ +\ 5  

c)

y = x2  5y\ =\ x^2\ -\ 5  

d)

{(3,5), (4,2), (-2,1), (0,0)}