Set 1 (base)

Question 1

State the Quadratic formula

Answer 1

Question 2

State the distance formula

Answer 2

d=

Question 3

Answer 3

Question 4

show f(x) when translated h units in the positive direction of the horizontal axis.

Answer 4

f(x-h)

Question 5

State the rule for the function

Answer 5

Question 6

Answer 6

Question 7

log(a)+log(b)

Answer 7

log(ab)

Question 8

Answer 8

Question 9

Answer 9

Question 10

quick sketch

Answer 10

Question 11

value of discriminant when 2 solutions

Answer 11

> 0

greater than 0

Question 12

Answer 12

Question 13

Answer 13

Question 14

If the gradient of 2 equations is the same and the y-int is the same how many solutions do they have?

Answer 14

infinite

Question 15

State the rule for the function

Answer 15

Question 16

state the formula for the discriminant

Answer 16

Question 17

Answer 17

Question 18

value of discriminant when 1 solution

Answer 18

= 0

Question 19

Answer 19

Question 20

state the equation expression for the axis of symmetry

the axis of symmetry is a LINE and therefore has an equation

Answer 20

x=-b/2a

must be x=

Question 21

State the rule for the function

Answer 21

Question 22

Answer 22

Question 23

value of discriminant when no solution

Answer 23

< 0

less than 0

Question 24

Answer 24

Question 25

Answer 25

Question 26

Answer 26

Question 27

show f(x) when reflected in the vertical axis

Answer 27

f(-x)

Question 28

show f(x) when dilated by a factor of a from the horizontal axis

Answer 28

af(x)

Question 29

If the gradient of 2 equations is different, how many solutions do they have?

Answer 29

1

Question 30

Answer 30

Question 31

Answer 31

Question 32

Answer 32

Question 33

State the rule for the function

Answer 33

Question 34

Answer 34

## Footnote asymptotes at x=0 and y=0

Question 35

Answer 35

Question 36

Answer 36

Question 37

log(1) | base ANYTHING

Answer 37

0

Question 38

How does the domain of the inverse relate to the original function?

Answer 38

It is equivalent to the range.

Question 39

Answer 39

Question 40

show f(x) when dilated by a factor of a from the vertical axis

Answer 40

f(x/a)

Question 41

Answer 41

Question 42

show f(x) when translated k units in the positive direction of the vertical axis.

Answer 42

f(x)+k

Question 43

Answer 43

Question 44

Answer 44

Question 45

Formula to find the equation of a straight line.

Answer 45

Question 46

quick sketch of the base graph (just 1 period)

Answer 46

Question 47

# Simplify (assume same base) log(a)-log(b)

Answer 47

Question 48

If the gradient of 2 equations is the same but different y-int how many solutions do they have?

Answer 48

0

Question 49

show f(x) when reflected in the horizontal axis

Answer 49

-f(x)

Question 50

Answer 50

Question 51

Answer 51

Question 52

Answer 52

Question 53

State the rule for the function

Answer 53

Question 54

state the midpoint coordinate rule

Answer 54

Question 55

State the rule for the function

Answer 55

y=sin(x)

Question 56

Answer 56

Question 57

Quick sketch of base graph for y=e^x

Answer 57

## Footnote (this is the same as for any exponential graph in the form y=a^x, where a>1)

Question 58

Quick sketch of base graph for y=ln(x)

Answer 58

## Footnote Note: this is the same as for any graph of y=log(x) for ANY base (eg, log2(x))

Question 59

Quick sketch of y=x^3

Answer 59

## Footnote Note, same rough shape for the graph of any function y=x^(positive odd integer >1) eg: x^5, x^7, x^9...

Question 60

Quick sketch of y=x^4

Answer 60

## Footnote Note, same rough shape for the graph of any function y=x^(positive even integer >1) eg: x^2, x^4, x^6...

Question 61

Answer 61

## Footnote Note, same rough shape for the graph of any function y=x^(1/even positive integer) eg: x^1/2, x^1/4, x^1/6...

Question 62

Answer 62

## Footnote Note, same rough shape for the graph of any function y=x^(1/even odd integer >1) eg: x^(1/3), x^(1/5), x^(1/7)...

Question 63

Answer 63

## Footnote Note, same ROUGH shape for the graph of any function y=1/x^(odd integer >1) eg: 1/x^(3), 1/x^(5), 1/x^(7)...

Question 64

Answer 64

## Footnote Note, same ROUGH shape for the graph of any function y=1/x^(even integer >1) eg: 1/x^2, 1/x^4, 1/x^6...

Question 65

Formula for completing the square

Answer 65

Question 66

Answer 66

Question 67

Answer 67

Question 68

Answer 68

Question 69

Answer 69

Question 70

domain of an inverse function =

Answer 70

range of the original function

Question 71

range of an inverse function =

Answer 71

domain of the original function

Question 72

"f(x) has an inverse" means...

Answer 72

f(x) is a one-to-one function | "one to one" is your annotation if this comes up in a question

Question 73

the inverse of a log function is...

Answer 73

an exponential function

Question 74

the inverse of an exponential function is...

Answer 74

a log function

Question 75

Answer 75

Question 76

Answer 76

Question 77

Write in interval notation: R+

Answer 77

(0,ထ) | does NOT include 0

Question 78

Write in interval notation: R-

Answer 78

(–ထ, 0)

Question 79

What does "continuous" mean, in terms of the *values* related to the function

Answer 79

y value on LHS = y value on RHS or f(x) value on LHS = f(x) value on RHS (use a limit on one/both sides where undefined)

Question 80

What does "smooth" mean, in terms of the *values* related to the function

Answer 80

dy/dx value on LHS = dy/dx value on RHS or f'(x) value on LHS = f'(x) value on RHS (use a limit on one/both sides where undefined)

Question 81

Answer 81

Question 82

Answer 82

Question 83

Answer 83

Question 84

Answer 84

Question 85

Annotation for "minimum" in a question

Answer 85

Question 86

Annotation for "maximum" in a question

Answer 86

Question 87

Annotation for "Independent" in a probability question

Answer 87

Pr(A)* Pr(B)=Pr(AnB)