Grade 11 Mathematics chapter 2

Welcome to your Grade 11 Mathematics chapter 2

After carefully reading the following 30 questions, choose the correct answer.

1. 
A rational expression is an expression of the form Q(x)P(x)​ where P(x) and Q(x) are:

2. 
The domain of a rational function f(x)=Q(x)P(x)​ is:

3. 
A rational expression Q(x)P(x)​ is in simplest form if P(x) and Q(x) have:

4. 
To multiply two rational expressions ba​ and dc​, we use the rule:

5. 
To divide ba​ by dc​, where c=0, we:

6. 
The Least Common Denominator (LCD) is used when:

7. 
An equation containing at least one rational expression is called a:

8. 
Solutions to a rational equation that make the denominator zero are called:

9. 
Which of the following is a rational inequality?

10. 
To solve Q(x)P(x)​>0, we typically use:

11. 
A vertical asymptote of the graph of f(x)=Q(x)P(x)​ occurs at x=c if:

12. 
If the degree of P(x) is less than the degree of Q(x), the horizontal asymptote is:

13. 
If the degree of P(x) equals the degree of Q(x), the horizontal asymptote y=L is:

14. 
An oblique (slant) asymptote occurs when:

15. 
The x-intercepts of f(x)=Q(x)P(x)​ are the values of x where:

16. 
The y-intercept of f(x) is found by evaluating:

17. 
When x→∞ and f(x)→L, then y=L is a:

18. 
For f(x)=x1​, as x approaches 0 from the right (x→0+):

19. 
The graph of f(x)=x21​ is symmetric with respect to:

20. 
A rational function graph can cross its:

21. 
If f(x)=x−1x−1​, the graph has a "hole" at:

22. 
To find the slant asymptote, one should perform:

23. 
The range of f(x)=x1​ is:

24. 
What is the LCD of x1​ and x+11​?

25. 
If f(x)=x2−42x2+1​, the horizontal asymptote is:

26. 
If f(x)=xx2−1​, the oblique asymptote is:

27. 
Which value of x is excluded from the domain of x2−9x​?

28. 
For Q(x)P(x)​ to be zero, it is necessary that:

29. 
In the rational expression x−2x2−4​, after simplifying, the expression becomes:

30. 
A "hole" in the graph occurs when a factor (x−c) is:

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