Functions

Question 1

What does [ mean?

Answer 1

the number can go up to and include

Question 2

What does ( mean?

Answer 2

the number can go up to but not include it

Question 3

What is an even function?

Answer 3

f(-x) = f(x)

Question 4

What does an even function look like?

Answer 4

Question 5

What is an odd function?

Answer 5

f(-x) = -f(x)

Question 6

What does an odd function look like?

Answer 6

Question 7

What is a periodic function?

Answer 7

f(t + nT)

y = f(t) if there is a number T, such that f(t + nT) = f(t), all integers n then f(t) is periodic.

Question 8

What does a continuous function look like?

Answer 8

Question 9

What does a discontinuous function look like?

Answer 9

Question 10

What does a discontinuous function look like?

Answer 10

Question 11

How do you convert from degrees to radians?

Answer 11

x pi/180

Question 12

How do you convert from radians to degrees?

Answer 12

x 180/pi

Question 13

what period does y = cosθ have?

Answer 13

2*pi

Question 14

Is y = cosθ an ODD, EVEN or neither function?

Answer 14

Even

Question 15

What period does y = sinθ have?

Answer 15

2*pi

Question 16

What function is y = sinθ EVEN, ODD or neither?

Answer 16

Odd

Question 17

What period does y = tanθ have?

Answer 17

2*pi

Question 18

What period does y = tanθ have?

Answer 18

2*pi

Question 19

What function does y = tanθ EVEN, ODD or neither?

Answer 19

ODD

Question 20

What is the identity that includes cos^2(θ) and sin^2(θ)?

Answer 20

cos^2(θ) + sin^2(θ) = 1

Question 21

What does cos(a + b) =

Answer 21

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

Question 22

What does cos(a + b) =

Answer 22

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

Question 23

What does cos(a - b) =

Answer 23

cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

Question 24

What does sin(a + b) =

Answer 24

sin(a + b) = sin(a)cos(b) + sin(b)cos(a)

Question 25

what does sin(a - b) =

Answer 25

sin(a - b) = sin(a)cos(b) - sin(b)cos(a)

Question 26

what is the equation for binomial expansion?

Answer 26

Question 27

Answer 27

Question 28

what is the equation for the generalised binomial coefficients?

Answer 28

Question 29

given f, find f^(-1)?

Answer 29

put y = f(x) solve for x

Question 30

find the inverse function for y = sinθ?

Answer 30

Question 31

find the inverse function for y = sinθ?

Answer 31

Question 32

find the inverse function for y = sinθ?

Answer 32

Question 33

What does the graph for y = arccosθ look like?

Answer 33

Question 34

What does the graph for y = arccosθ look like?

Answer 34

Question 35

What does the graph for y = arctanθ look like?

Answer 35

Question 36

what does e^x differentiate to?

Answer 36

e^x

Question 37

What does the graph e^x look like?

Answer 37

Question 38

What does the graph y = ln(x) look like?

Answer 38

Question 39

ln(e^x) =

Answer 39

x

Question 40

e^ln(x) =

Answer 40

x

Question 41

ln(xy) =

Answer 41

ln(xy) = ln(x) + ln(y)

Question 42

ln(x/y) =

Answer 42

ln(x/y) = ln(x) - ln(y)

Question 43

ln(x^p) =

Answer 43

p*ln(x)

Question 44

what does ln(x) differentiate to?

Answer 44

1/x

Question 45

a^x = y <=>

Answer 45

log_a(y)

Question 46

What is sinh(x) =

Answer 46

sinh(x) = 1/2*(e^x - e^(-x))

Question 47

What is cosh(x)?

Answer 47

cosh(x) = 1/2*(e^x + e^(-x))

Question 48

What is tanh(x)?

Answer 48

tanh(x) = sinh(x)/cosh(x)

Question 49

What does the graph for sinh(x) look like?

Answer 49

Question 50

What does the graph for cosh(x) look like?

Answer 50

Question 51

What does the graph for tanh(x) look like?

Answer 51

Question 52

What is the identity that links cosh(x) and sinh(x)?

Answer 52

cosh^2(x) - sinh^2(x) = 1

Question 53

what does cosh(a + b) =

Answer 53

cosh(a + b) = cosh(a)cosh(b) + sinh(a)sinh(b)

Question 54

What does cosh(2x) =

Answer 54

cosh(2x) = cosh^2(x) + sinh^2(x)

Question 55

what does sinh(a + b) =

Answer 55

sinh(a + b) = cosh(a)sinh(b) + sinh(a)cosh(b)

Question 56

what does sinh(2x) =

Answer 56

sinh(2x) = 2sinh(x)cosh(x)

Question 57

what does sinh(x) differentiate into?

Answer 57

cosh(x)

Question 58

What does cosh(x) differentiate into?

Answer 58

sinh(x)