Maths

Question 1

How do you test if something has an inverse function?

Answer 1

Horizontal line test

Question 2

Set builder notation?

Answer 2

the one with the wavy brackets {x: x>7}

Question 3

Interval notation?

Answer 3

[ = or equal to
( = than

Question 4

What is I(x)?

Answer 4

The identify function, it leaves X unchanged. So goes through the function and then the inverse.

Question 5

f(x) + k?

Answer 5

Translates y upwards

Question 6

f(x) - k?

Answer 6

Translated y downwards

Question 7

f(x+k)?

Answer 7

Translates x to the left

Question 8

f(x-k)?

Answer 8

Translates x to the right

Question 9

-f(x)?

Answer 9

Reflection in the x

Question 10

f(-x)?

Answer 10

Reflection in the y

Question 11

f(qx)?

Answer 11

stretches or compresses horizontally of a factor 1/q

Question 12

pf(x)?

Answer 12

stretches or compresses vertically of a factor of q

Question 13

How do you test if something is a function?

Answer 13

Vertical line test

Question 14

How do you complete the square?

Answer 14

You put it in without changing the signs at all!!!!!!!

It is if you want the vertex that you change the one inside!

Question 15

What is the log change of base formula?

Answer 15

logb(a) = logc(a)/logc(b)

Question 16

What is a inflexion point?

Answer 16

One where the concavity changes.

Question 17

What is variance?

Answer 17

STANDARD DEVIATION SQUARED

Question 18

What is a residual?

Answer 18

A residual is the vertical distance between a data point and the regression line.

Question 19

What is sin45?

Answer 19

1/square root of 2 REMEMBER 1,1, SQUARE ROOT 2 TRIANGLE FOR 45 DEGREES

Question 20

What is cos45

Answer 20

1/square root of 2 REMEMBER 1,1, SQUARE ROOT 2 TRIANGLE FOR 45 DEGREES

Question 21

What is tan45?

Answer 21

1 REMEMBER 1,1, SQUARE ROOT 2 TRIANGLE FOR 45 DEGREES

Question 22

What is sin30?

Answer 22

1/2 REMEMBER 1, SQUAREROOT 3 , 2 TRIANGLE

Question 23

What is sin60?

Answer 23

squareroot3/2 REMEMBER 1, SQUAREROOT 3 , 2 TRIANGLE

Question 24

What is cos30?

Answer 24

squareroot3/2 REMEMBER 1, SQUAREROOT 3 , 2 TRIANGLE

Question 25

What is cos60?

Answer 25

1/2 REMEMBER 1, SQUAREROOT 3 , 2 TRIANGLE

Question 26

What is tan30?

Answer 26

1/squareroot3 REMEMBER 1, SQUAREROOT 3 , 2 TRIANGLE

Question 27

What is tan60?

Answer 27

squareroot3/1 REMEMBER 1, SQUAREROOT 3 , 2 TRIANGLE

Question 28

In the unit circle which is x and which is y?

Answer 28

cos is x

sin is y

Question 29

How do you convert from degrees to radians?

Answer 29

degrees x pi/180

Question 30

How do you convert from radians to degrees?

Answer 30

radians x 180/pi

Question 31

What do you need to know about the unit circle?

Answer 31

sin0 = sin(180-0)
cos0 = cos(-0)
tan0 = tan(180 + 0)

Question 32

How do you find the period of a trig function?

Answer 32

Divide it by 2pi!

Question 33

How do you write cast?

Answer 33

c a s t - starts in the bottom right hand corner and goes clockwise.

Question 34

What do you have to be careful with with tan and the unit circle?

Answer 34

If it is tanx= squareroot of 3

THEN IT CAN BE PLUS OR MINUS ANY OF THE VALUES.

SO THERE ARE LOADS OF VALUES

Question 35

What is sin2x?

Answer 35

It is a horizontal stretch of 1/2 and so you multiply every x value by 1/2.

Question 36

Differentiate tan(3x)?

Answer 36

3/cos^2(3x) DO NOT FORGET TIMES BY THE POWER

Question 37

How do you integrate cos(4x-6)

Answer 37

-1/4sin(4x-6) IS JUST A RULE JUST ACCEPT IT

Question 38

What is the difference between the product rule and the chain rule?

Answer 38

BOTH TO DIFFERENTIATE
The chain rule is used if you are multiplying a number. You use the product rule if you are multiplying a function by a function.

e.g.

4(sin(4x)^2 - CHAIN RULE

(4x + 2)(sin(4x)^2 - PRODUCT RULE