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Rational Function Domain Quest

Froggy Jumps

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About this activity

Identify the domain of simple rational functions.

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Philippines

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Rational Function Domain Quest
 

Froggy Jumps

Rational Function Domain QuestOnline version

Identify the domain of simple rational functions.

by John lexian Pereña
1

What is the domain of f(x)=1/(x-3)?

2

For f(x)=(x+2)/(x^2-4), which x are not allowed?

3

Domain of f(x)=(x^2+1)/(x^2+ x -2) excludes which values?

4

What is the domain of f(x)=(2x+1)/(x-4)?

5

For f(x)=1/(x^2+1), which values are excluded from the domain?

6

The domain of f(x)=(x-3)/(x^2-9) is all real numbers except which x?

7

f(x)=(x+5)/(x^2+6x+9) excludes which x?

8

Which x are excluded for f(x)=(2x)/(x^2+4)?

9

Domain of f(x)=(x^3+1)/(x^2-16) excludes which x?

10

For f(x)=(x+1)/(x^2+x), which x are not allowed?

11

If f(x)=(x^2-1)/(x-1), what x-values are not in the domain?

12

For g(x)=(x-2)(x+3)/(x-2), which x is excluded from the domain?

13

The domain of h(x)=1/(x^2-4) excludes which numbers?

14

If a common factor cancels, what happens to the domain?

15

Consider f(x)=(x+1)/(x^2-1). Which x are not allowed?

16

What is the domain of p(x)= (x^2-9)/(x-3)?

17

A rational function has a hole at x=4 due to a common factor. Which is true for the domain?

18

If q(x)= (2x+1)/(x^2+3x), which x are excluded?

19

Which statement is correct about domain after simplifying a factor?

20

For r(x)=(x-4)/(x-4)(x+2), what numbers are not in the domain?

21

Domain of f(x) = (x^2-1)/(x-1).

22

Which x are not in the domain of f(x) = 1/(x^2-4)?

23

Domain of f(x) = (x+3)/(x^2-9) after cancellation.

24

Domain of f(x) = √(x-2)/(x-5).

25

Domain of f(x) = (ln(x-1))/(x-2).

26

Domain of f(x) = (x^2-5)/(x^2-4x+4).

27

Domain of f(x) = (x^3-1)/(x^2-1).

28

If f(x) = (x-4)/(x^2-8x+16), domain excludes which x?

29

Domain of f(x) = (x+1)/((x-1)(x+2)).

30

Domain of f(x) = (x^2+1)/(x^2+2x+1) simplified to (x^2+1)/(x+1)^2.

31

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

32

Find the range of f(x) = (x+4)/(x-1).

33

For f(x) = (x^2-1)/(x-1), what values can y take?

34

Range of f(x) = (x^2+1)/(x^2+2)?

35

What is the range of f(x) = (3x-2)/(x+4)?

36

Range of f(x) = (x-5)/(x-5) for x≠5?

37

For f(x) = (2x+3)/(x-2), what values are impossible for y?

38

Consider f(x) = (x^2+x)/x for x≠0, what is the range?

39

Range of f(x) = 1/(x-1) + 1?

40

For f(x) = (x-1)(x-2)/(x-1) with x≠1, what is the range?

41

For f(x)= (2x+3)/(x-1), what is the range of f?

42

If f(x)= (x^2-1)/(x-3), which y-values are not attained?

43

Consider f(x)= (3x+4)/(x+2). The horizontal asymptote is y=3, but which y value is excluded from the range?

44

For f(x)= (x+5)/(x-5), what is the range of f?

45

Let f(x)= (2x^2+3x-2)/(x^2-4). Which y-value is not in the range?

46

If f(x)= (x-1)/(x^2-1), which y-values are missing from the range?

47

Given f(x)= (4x+1)/(2x-3), which y cannot be achieved?

48

For f(x)= (x^2+2x+3)/(x^2+1), which y value is excluded?

49

If f(x)= (x-4)/(x+1), the range excludes which y-value?

50

For f(x)= (2x-3)/(x-2), which y is not in the range?

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