IB

Question 1

log(a)(a^n)

Answer 1

n

Question 2

log(a)1

Answer 2

0

Question 3

log(1/x)

Answer 3

-logx

Question 4

log(a)a

Answer 4

1

Question 5

derivative of lnx

Answer 5

1/x

Question 6

how does the vertical line test show that a relation is a function?

Answer 6

If it intersects the graph more than once that shows that some numbers occur more than once in the domain, which can’t happen for a function

Question 7

asymptote

Answer 7

a line the graph approaches, but does not intersect

Question 8

why can’t you have inverses of quadratic and cubic graphs

Answer 8

if a horizontal line crosses the graph of a function more than once, there is no inverse function

Question 9

the graph of the inverse of a function is a reflection of that function in the line

Answer 9

y=x

Question 10

where do all exponential graphs cross the y axis

Answer 10

1 because a^0 = 1

Question 11

dividing fractions

Answer 11

multiply the reciprocals

Question 12

30 degrees in radians

Answer 12

pi/6

Question 13

45 degrees in radians

Answer 13

pi/4

Question 14

60 degrees in radians

Answer 14

pi/3

Question 15

90 degrees in radians

Answer 15

pi/2

Question 16

sine and cosine of 30 degrees

Answer 16

sin30 = 1/2
cos30 = root3/2

Question 17

sine and cosine of 45 degrees

Answer 17

sin45 = root2/2
cos45 = root2/2

Question 18

sine and cosine of 60 degrees

Answer 18

sin60 = root3/2
cos60 = 1/2

Question 19

sine and cosine of 90 degrees

Answer 19

sin90 = 1
cos90 = 0

Question 20

tan30

Answer 20

1/root3

Question 21

tan45

Answer 21

1

Question 22

tan60

Answer 22

root3

Question 23

tan90

Answer 23

undefined

Question 24

value of e

Answer 24

2.71828

Question 25

variance

Answer 25

a measure of spread -> the arithmetic mean of the squared difference between each value and the mean value

Question 26

standard deviation

Answer 26

square root of the variance

Question 27

least squares regression line

Answer 27

the line that has the smallest possible values for the sum of the squares of the residuals

Question 28

what is meant by a convergent series?

Answer 28

a series where as the term number in the series increases, the terms in the series approach a fixed value known as the limit of the series

Question 29

what do you call a series that isn’t convergent?

Answer 29

divergent

Question 30

what happens if you add/subtract a constant value to/from all the numbers in a list

Answer 30

the arithmetic mean increases/decreases by k but the standard deviation remains the same

Question 31

what happens if you multiply/divide all the numbers in a list by a constant value k

Answer 31

both the mean and the standard deviation are multiplied/divided by k

Question 32

residual

Answer 32

vertical distance between a data point and the graph of a regression equation