Exponentials + logs

Question 1

What happens with …..
1. an increase in b
2. negative b

Answer 1

1. increases the steepness of the line (gradient)
2. reflection in the x axis

Question 2

What happens with …..
1. an increase in a
2. negative a

Answer 2

1. an increase in y intrcept
2. negative y intercept (a reflection in the x axis)

Question 3

Relationship between a reciprocal base

Answer 3

Question 4

Answer 4

Question 5

what is the difference between exponetial growth curve and decay curve?

Answer 5

• growth: population, disease
• decay:

Question 6

Answer 6

Question 7

Answer 7

Question 8

Answer 8

Asymptotes change

Question 9

Answer 9

Question 10

Answer 10

Question 11

Answer 11

Question 12

What are logarithms ?

Answer 12

The inverse of exponentials, gives the missing power

Question 13

Convert log and exponential form

Answer 13

Question 14

She thinks the logarithm graph

Answer 14

Question 15

Answer 15

Question 16

Answer 16

Question 17

What is the Natural logarithm?

Answer 17

Question 18

Answer 18

Question 19

What is Euler’s number?

Answer 19

Where the gradient function = the function

Question 20

What is the rule when differentiating exponential functions?

Answer 20

Question 21

Answer 21

Question 22

Answer 22

Question 23

Answer 23

Question 24

Answer 24

Question 25

Answer 25

Question 26

What is the addition log law?

Answer 26

Question 27

What is the proof for the addition log law?

Answer 27

Question 28

What is the subtraction log law?

Answer 28

Question 29

What is the proof for the subtraction log law?

Answer 29

Question 30

What is the power law?

Answer 30

Question 31

What is the change of base law?

Answer 31

Question 32

What is the proof for the change in base law?

Answer 32

Question 33

What is the answer for these ?

Answer 33

Question 34

What is the simplified version for these logs expressions ?

Answer 34

Question 35

What is

Answer 35

logs are NOT distributive

Question 36

Answer 36

Use the log laws!

Question 37

What are the 3 different types of logs?

Question 38

Answer 38

Question 39

Answer 39

Question 40

Answer 40

Question 41

Answer 41

Question 42

Answer 42

Question 43

Answer 43

Question 44

What is linearisation and why is it done to exponentials?

Answer 44

Converting a function into straight line form: it becomes easier to collect information on them. This is done by Logs

Question 45

Linearise the equation

Answer 45

Question 46

Answer 46

Question 47

Answer 47

Question 48

Answer 48

Question 49

Answer 49

Question 50

Answer 50

Question 51

Answer 51

Question 52

Answer 52

Question 53

Answer 53

Question 54

Answer 54

Question 55

Answer 55

Question 56

Answer 56

Question 57

Answer 57

Question 58

Answer 58

Question 59

Answer 59

Question 60

Answer 60

Question 61

Answer 61

Question 62

Answer 62

Question 63

Answer 63