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Worksheets

General Mathematics Reviewer

Total questions: 21

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

A rational function is a function that involves a quotient of two polynomials where the denominator is not equal to zero.

a)

True

b)

False

2.

The roots of the denominator is the domain of a rational function.

a)

False

b)

True

3.

Extraneous roots are roots that do not satisfy the original equation.

a)

True

b)

False

4.

We must always check the roots obtained in order to identify if it satisfies the equation.

a)

True

b)

False

5.

The restricted values of the domain of a rational function is not the vertical asymptotes.

a)

False

b)

True

6.

It is the line where the graph of the function is approaching and getting closer but will never cross it.

a)

Asymptote

b)

Asimtote

c)

Asymptotic

d)

Asymptic

7.

How many forms of asymptote that can be identified?

a)

1

b)

2

c)

3

d)

4

8.

What type of asymptote that can be formed if the degree of the numerator is greater than the degree of the denominator?

a)

Vertical

b)

Slanting

c)

Horizontal

d)

Curving

9.

In what number you should equate x to get the y-intercept?

a)

0

b)

1

c)

2

d)

3

10.

In order to put it on a graph, the x-intercept must be in this form.

a)

x+0=0

b)

(0,x)

c)

x=0

d)

(x,0)

11.

What is the horizontal asymptote of the f(x)=3/2x?

a)

0

b)

y=0

c)

x=0

d)

(0,0)

12.

What is the x-intercept of f(x)=3x/2x?

a)

(x,0)

b)

(0,y)

c)

(0,0)

d)

x=0

13.

What is the y-intercept of f(x)=3x/2x+1?

a)

(0,0)

b)

y=0

c)

(x,0)

d)

(0,y)

14.

What is the horizontal asymptote of the function f(x)=3x/2x?

a)

(3/2,0)

b)

y=3/2

c)

(0,3/2)

d)

x=3/2

15.

What are the vertical asymptotes of the function f(x)=x+1/x²-2x+1?

a)

x=1 & x=-1

b)

y=1 & y=-1

c)

y=1 & x=-1

d)

x=1 & y=-1

16.

How can we identify the slanting asymptote?

a)

Divide the polynomial of the numerator by the polynomial of the denominator and disregard the remainder.

b)

Divide the polynomial of the denominator by the polynomial of the numerator and disregard the remainder.

c)

Divide the polynomial of the numerator by the polynomial of the denominator and giving regards to the remainder.

d)

Divide the polynomial of the denominator by the polynomial of the numerator and giving regards to the remainder.

17.

Solve for the value of x: -2/x + 5/x = 6

(a)  

18.

Solve for the value of x: 10/2x-3 = 2

a)

x=4

b)

x=3

c)

x=2

d)

x=5

19.

What is the domain of the rational function f(x) = 3x/x²-x-12

a)

The set of all real numbers except x=4 and x=-3

b)

The set of all real numbers except x=-4 and x=3

c)

The set of all real numbers except x=8 and x=-6

d)

The set of all real numbers except x=-8 and x=6

20.

Is f(x) = 3/x a rational function?

a)

Yes

b)

Secret hulaan mo....

c)

No

d)

God is Always the Answer

21.

Sino pinaka pogi sa Klase?

a)

Jm Bautista

b)

Rafael Castil

c)

Marwin Martinez

d)

Carl Parico

e)

Mj Lomboy