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7.4 Logarithmic Functions with Base 10 and Base e

Total questions: 62

Worksheet time: 31mins

Name
Class
Date
1.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(8,0)

2.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(8,0)

3.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

4.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

5.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

6.

Which of the graph(s) are logarithmic?

a)

 a)

b)

b) 

c)

 d)

d)

e)  

7.

Which of the graph(s) are logarithmic?

a)

 b)

b)

c) 

c)

 e)

d)

f)  

8.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

9.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

10.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

11.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

12.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

13.

What do you know about a value?

a)

a>0a>0  

because the function is increasing

b)

a<0a<0  

because the function is decreasing

c)

a0a\le0  

because the function is increasing

d)

a0a\ge0  

because the function is decreasing

14.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

15.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

16.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

17.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

18.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

19.

What do you know about a value?

a)

a>0a>0  

because the function is increasing

b)

a<0a<0  

because the function is decreasing

c)

a0a\le0  

because the function is increasing

d)

a0a\ge0  

because the function is decreasing

20.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(3,0)

21.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(-9,0)

22.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(12,0)

23.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(0.5,0)

24.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(-0.2,0)

25.

The x-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(100,0)

26.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

27.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

28.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

29.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

30.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

31.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

32.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

33.

The y-intercept of the function to the left is:

a)

(1,0)

b)

(0,1)

c)

There isn't one

d)

(1,1)

34.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

35.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

36.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

37.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

38.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

39.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

40.

The end behaviour for the function on the left:

a)

QI - QIV

b)

QIV - QI

c)

There isn't any

d)

QI - QII

41.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

42.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

43.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

44.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

45.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

46.

The domain of the function on the left:

a)

x>0, xRx>0,\ x\in R  

b)

xRx\in R  

c)

x0, xRx\ge0,\ x\in R  

d)

x<0, xRx<0,\ x\in R  

47.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

48.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

49.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

50.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

51.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

52.

The range of the function on the left:

a)

y>0, xRy>0,\ x\in R  

b)

yRy\in R  

c)

y0, yRy\ge0,\ y\in R  

d)

y<0, yRy<0,\ y\in R  

53.

What do you know about this function?

a)

increasing because a > 0

b)

decreasing because a < 0

c)

increasing because a < 0

d)

decreasing because a > 0

54.

What do you know about this function?

a)

increasing because a > 0

b)

decreasing because a < 0

c)

increasing because a < 0

d)

decreasing because a > 0

55.

What do you know about this function?

a)

increasing because a > 0

b)

decreasing because a < 0

c)

increasing because a < 0

d)

decreasing because a > 0

56.

What do you know about this function?

a)

increasing because a > 0

b)

decreasing because a < 0

c)

increasing because a < 0

d)

decreasing because a > 0

57.

What do you know about this function?

a)

increasing because a > 0

b)

decreasing because a < 0

c)

increasing because a < 0

d)

decreasing because a > 0

58.

What do you know about this function?

a)

increasing because a > 0

b)

decreasing because a < 0

c)

increasing because a < 0

d)

decreasing because a > 0

59.

What equation matches graph a?

a)

i

b)

ii

c)

iii

d)

iv

60.

What equation matches graph b?

a)

i

b)

ii

c)

iii

d)

iv

61.

What equation matches graph c?

a)

i

b)

ii

c)

iii

d)

iv

62.

What equation matches graph d?

a)

i

b)

ii

c)

iii

d)

iv