Free Printable relation and function

1.

Which relation is NOT a function?

a)

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

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

2.

The true statement is…

a)

$R=\left\{(1,1),(2,0),(2,1)\right\}$ is a function

b)

$R=\left\{(1,1),(3,2),(5,2)\right\}$ is a function

c)

$R=\left\{(5,a),(5,b),(4,c)\right\}$ is a function

d)

$R=\left\{(1,6),(1,5),(1,4)\right\}$ is a function

3.

a)

Function

b)

Not a Function

4.

a)

Function

b)

Not a Function

5.

a)

Function

b)

Not a Function

6.

a)

Function

b)

Not a Function

7.

a)

Function

b)

Not a Function

8.

a)

Function

b)

Not a Function

9.

A function define by formula $f(x)=3-5x$ . The value of $f(-3)$ is…

a)

-18

b)

-12

c)

18

d)

12

10.

Known that $f(x)=4x-7$ , then the value of $f(5)+f(-4)$ is…

a)

50

b)

36

c)

4

d)

-10

11.

Known that $f(x)=2x+5$ . If the value of $f(a)=11$ , then the value of a is…

a)

2

b)

3

c)

5

d)

6

12.

Known that $f(x)=2x-3$ . If the value of $f(m)=5$ and $f(-2)=n$ , then the value of $m+n$ is…

a)

5

b)

2

c)

-3

d)

-6

13.

Known that $f(x)=6x+1$ , then the value of $f(3a-1)$ is…

a)

$18a-5$

b)

$18a-7$

c)

$18a$

d)

$24a+1$

14.

Look at the following diagram!

The range of that relation is…

a)

$L=\left\{0,2,4,6,8\right\}$

b)

$L=\left\{2,4,6,8\right\}$

c)

$R=\left\{0,2,4,6,8\right\}$

d)

$R=\left\{2,4,6,8\right\}$

15.

Look at the following diagram!

The domain of that relation is…

a)

$K=\left\{1,2,3,4\right\}$

b)

$K=\left\{1,2,3,4,5\right\}$

c)

$L=\left\{2,4,6,8\right\}$

d)

$L=\left\{0,2,4,6,8\right\}$

16.

The linear function f define by $f(x)=px+q$ . If the value of $f(2)=5$ and $f(-2)=-11$ , then the value of $f(-6)$ is…

a)

-27

b)

-18

c)

-9

d)

-3

17.

Which symbol completes the statement correctly? {6}____{1,3,6}

a)

$\epsilon$

b)

$\subset$

c)

$=$

d)

$\not\subset$

18.

Given that
R = { factors of 36 }.
n(R) =

a)

6

b)

9

c)

12

d)

15

19.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {-4, -3, 1} R: {-4, 0, 1, 2}

b)

D:{-4, 0, 1, 2} R:{-4, -3, 1}

c)

D:{0, 1, 2, 3, 4} R:{-4, -3, 1}

20.

Is this table a function or not a function?

a)

Function

b)

Not a Function

21.

Is this table a function or not a function?

a)

Function

b)

Not a Function

22.

Which graph shows a relation that is a function?

a)

b)

c)

d)

23.

Given G= {8,7,9} and R= {-8,-7,-9}. Suppose that f is a mapping from G to R. Which of the following is not a function?

a)

{(8,-7), (9,-9), (7,-8)}

b)

{(8,-9), (9,-9), (7,-9)}

c)

{(7,-9),(7,-8), (9,-9)}

d)

{(9,-7), (8,-8), (7,-9)}

24.

1. Given that f : R → R and let f(x)= 9x-9. Under this function, the image of f(10) is___.

a)

90

b)

99

c)

81

d)

10

25.

Given the sets A = {m, a, t, h} and B = {s, c, i}, which of the following is relation from B to A.

a)

{(c,a),(m,s), (i,t), (h,c)}

b)

{(m,s), (m,c), (m,i)}

c)

{(s,m), (c,a), (i,t)}

d)

a. {(s,c), (m,h), (i,t)}

26.

Find the inverse of f(x) = 3x +8

a)

$f^{-1}\left(x\right)=3x-\frac{8}{3}$

b)

$f^{-1}\left(x\right)=\frac{8}{3}x-\frac{1}{3}$

c)

$f^{-1}\left(x\right)=\frac{1}{3}x-\frac{8}{3}$

d)

$f^{-1}\left(x\right)=\frac{1}{3}x+\frac{8}{3}$

27.

If f(x)=2x-1 and g(x)=x²-2x+1, what is f(g(x))?

a)

2x²+4x+1

b)

2x²-4x-1

c)

2x²-4x+1

d)

2x²+4x-1

28.

f(x) = (x-1)²

g(x) = 3x+4

h(x) = 3x-1

f(g(h(3))) =

a)

8

b)

28

c)

729

d)

54

29.

Find the inverse of $f\left(x\right)=-3x^2+5$

a)

b)

c)

d)

30.

The graph represents a function.

a)

True

b)

False

31.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

32.

Which of the following is not function?

a)

b)

c)

d)

33.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

34.

Is y a function of x?

a)

function

b)

not a function

35.

Is y a function of x?

a)

function

b)

not a function

36.

f(x) = {(3, 7), (4, -2), (5, -1), (8, 7)}
Is f^-1(x) a function?

a)

Yes

b)

No

c)

No way to tell

37.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

38.

Given set A = {a,b,c}. An identity relation in set A is

a)

R= {(a,b),(a,c)}

b)

R = {(a,a),(b,b), (c,c) }

c)

R= {(a,a),(b,b), (c,c), (a,c)}

d)

R= {(c,a),(b,a), (a,a)}

39.

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(f\circ g\right)\left(x\right)=$

a)

$3x-2$

b)

$3x+8$

c)

$3x^2+8x-35$

d)

$3x-12$

40.

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(g\circ f\right)\left(x\right)=$

a)

$3x-2$

b)

$3x+8$

c)

$3x^2+8x-35$

d)

$3x-12$

41.

If $f\left(x\right)=5x$ , $g\left(x\right)=-2x+1$ , and $h\left(x\right)=x^2+6x+8$ , find $h\left(f\left(-5\right)\right)$ . (Your answer should be a number.)

(a)

42.

The domain of

y=\frac{x-1}{x+2}

is

a)

$x\ne-2$

b)

$x\ne-1$

c)

$x\ne1$

d)

$x\ne2$

43.

Find the range of

y=\frac{x^2+5x+6}{x+2}

.

a)

$y\ne-2$

b)

$y\ne-1$

c)

$y\ne1$

d)

$y\ne2$

44.

If n(A×B) =6 and A = {1,3} then n(B) is

a)

1

b)

2

c)

3

d)

6

45.

A = {a,b, p}, B = {2,3}, C = {p,q,r,s} then n[(A∪C)×B] is

a)

8

b)

20

c)

12

d)

16

46.

If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

a)

(8,6)

b)

(8,8)

c)

(6,8)

d)

(6,6)

47.

Let A = {1,2,3,4}and B = {4,8,9,10}. A function f : A → B given by

f = {(1,4),(2,8),(3,9),(4,10)} is a

a)

Many-one function

b)

Identity function

c)

One-to-one function

d)

Into function

48.

For the given sets A and B, which statement is true?

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A^'= B

49.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

50.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

51.

What is Domain?

a)

The x -values

b)

The y-values

c)

A website name

d)

Output

52.

What is Range?

a)

The x-values

b)

The y-values

c)

A place where Cattle Roam

d)

Input

53.

What is the value of the function at x= 3?

a)

y=4

b)

y=3.8

c)

y=3.5

d)

y=3

54.

What is the value of f(-2) when f(x) = -5x -12?

a)

f(-2) = -22

b)

f(-2) = 10

c)

f(-2) = -2

d)

f(-2) = -12

relation and function

Total questions: 54

Worksheet time: 1hrs 23mins

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