14 - Exponentials and Logarithms

Question 1

How to solve this type of question?

Answer 1

Question 2

What do you do if you have to sketch the graph of an unfamiliar function?

Answer 2

Question 3

How are exponential functions of the form f(x) = a^x similar to the exponential themselves

Answer 3

Question 4

How can you simplify e^m+n

Answer 4

Question 5

What are the inverses of exponential functions called?

Answer 5

Question 6

How do you change log_an = x into a exponential

Answer 6

Question 7

What is _a in log_an = x

Answer 7

Question 8

What is the log multiplication law?

Answer 8

Question 9

What is the log division law?

Answer 9

Question 10

What is the log power law?

Answer 10

Question 11

What is the log power law when k = -1

Answer 11

Question 12

Answer 12

Question 13

Answer 13

Question 14

What do you do when you have 3^x+1?

Answer 14

Question 15

What do you do when you have a question like this?

Answer 15

Take logs of both sides

Question 16

What does ln1 equal

Answer 16

0

Question 17

Where does e^x always pass through?

Answer 17

y = 1

Question 18

Where does ae^x always pass through

Answer 18

y = a

Question 18

Where does ae^x always pass through

Answer 18

y = a

Question 19

How would you answer a question like this?

Answer 19

Question 20

Binomial expansion formula (Book 1)

Answer 20

Question 21

What formula do you use to find coefficients for Bionmial expansion?

Answer 21

Question 22

How to approximate binomial expansion

Answer 22

• Set the equation without the power equal to the approximation
• find x
• Sub x back into original biomial expansion

Question 23

How do modulus functions work?

Answer 23

Question 24

How are the domains/ranges of inverse and normal functions linked

Answer 24

Question 25

What do you say if they ask you a question like this?

Answer 25

Question 25

What do you say if they ask you a question like this?

Answer 25

Question 26

How much is pie radians in degrees?

Answer 26

Question 27

Formula for arc of a sector (radians)

Answer 27

L = r x theta

Question 28

Formula for area of a sector (radians)

Answer 28

Question 29

The formula for the area of a segment in a circle?

Answer 29

Question 30

Sketch y=secx

Answer 30

Question 31

Sketch y = cosecx

Answer 31

Question 32

Sketch y = cotx

Answer 32

Question 33

Which side do you start from when proving an identity?

Answer 33

Question 34

What is the inverse function of sinx called?

Answer 34

arcsinx

Question 35

Sketch arcsinx

Answer 35

Question 36

Sketch y = arccosx

Answer 36

Question 37

Sketch y = arctanx

Answer 37

Question 38

Formula for chain rule

Answer 38

Question 39

Formula for product rule

Answer 39

Question 40

Formula for quotient rule

Answer 40

Question 41

Implicit differentiation formula

Answer 41

Question 42

When is a function concave

Answer 42

Question 43

When is a function convex?

Answer 43

Question 44

When does a point of inflection occur?

Answer 44