Studied by 66 people

5.0(1)

Get a hint

Hint

1

When you plug -x into a polynomial and it ends up identical to the original polynomial, is it even or odd?

even

New cards

2

When you plug -x into a polynomial and it ends up exactly opposite to the original polynomial, is it even or odd?

odd

New cards

3

When you plug -x into a polynomial and it ends up neither identical to the original polynomial or exactly opposite to the original polynomial, is it even or odd?

neither

New cards

4

What does the tangent function look like? (draw it out) What is the period?

The period is pi

New cards

5

What's the domain and range for sin inverse (arcsin)?

Domain: [-1,1] Range: [-pi/2, pi/2]

New cards

6

What's the domain and range for cos inverse (arccos)?

Domain: [-1,1] Range: [0,pi]

New cards

7

What's the domain and range for tan inverse (arctan)?

Domain: (-infinity, infinity) Range: [-pi/2, pi/2]

New cards

8

What's the range for csc?

(-infinity, -1] U [1, infinity)

New cards

9

What does csc look like? (draw it out) Name a few asymptotes.

Asymptotes: 0, pi, 2pi, etc.

New cards

10

What is the range of sec?

(-infinity, -1] U [1, infinity)

New cards

11

What does sec look like? (draw it out) Name a few asymptotes.

Asymptotes: pi/2, 3pi/2, 5pi/2, etc.

New cards

12

What is the range if cot?

(-infinity, infinity)

New cards

13

What does cot look like? (draw it out) Name a few asymptotes.

Asymptotes: -pi, pi, 2pi, etc.

New cards

14

What are the three trig identities?

sin²θ+cos²θ=1

tan²θ+1=sec²θ

cot²θ+1=csc²θ

New cards

15

Angle Sum Identity: sin(α±β) = ?

sinαcosβ±sinβcosα

New cards

16

Angle Sum Identity: cos(α±β) = ?

cosαcosβ∓sinαsinβ

New cards

17

sin2θ = ?

2sinθcosθ

New cards

18

cos2θ = ?

cos²θ-sin²θ

2cos²θ-1

1-2sin²θ

New cards

19

Is this concave up or down? What is happening to the outputs? Is the ROC neg. or pos., increasing or decreasing?

Concave up, outputs are decreasing, ROC is neg. & incr.

New cards

20

Is this concave up or down? What is happening to the outputs? Is the ROC neg. or pos., increasing or decreasing?

Concave up, outputs are increasing, ROC is pos. & incr.

New cards

21

Is this concave up or down? What is happening to the outputs? Is the ROC neg. or pos., increasing or decreasing?

Concave down, outputs are increasing, ROC is pos. & decr.

New cards

22Is this concave up or down? What is happening to the outputs? Is the ROC neg. or pos., increasing or decreasing?

Concave down, outputs decr., ROC neg. & decr.

New cards

23

cartesian to polar

r²= √x^2+y^2 tan^-1(y/x)

New cards

24

polar to cartesian

x= r*cosθ

y=r*sinθ

New cards

25

rectangular to complex

(a,b) => z= a+b*i

New cards

26

polar (r, θ) to complex

z= r*cosθ + r*sinθ*i

or

z= r(cosθ+i*sinθ)

New cards

27

Formulas for circles

r= acosθ

r=asinθ

(a= diameter)

New cards

28

What kind of symmetry does r=acosθ have?

Polar axis sym

New cards

29

What kind of symmetry does r=asinθ have?

Y-axis sym

New cards

30

Formulas for roses

r = acos(nθ)

r=asin(nθ)

New cards

31

What kind of symmetry does r = acos(nθ) have?

polar axis (x-axis) sym.

New cards

32

What kind of symmetry does r = asin(nθ)

θ = pi/2 sym.

New cards

33

Where is r = acos(nθ) 1st petal?

θ = 0

New cards

34

Where is r = asin(nθ) 1st petal?

θ = pi/2n

New cards

35

If n is odd=? petals

n petals

New cards

36

If n is even=? petals

2n petals

New cards

37

Limacon formulas?

r= a+bcosθ

r= a+bsinθ

New cards

38

If |a|<|b|, what kind of limacon?

loop

New cards

39

If |a| = |b|, what kind of limacon?

cardiod

New cards

40

If |a| > |b|, what kind of limacon?

dimple

New cards

41

What does 2^x look like? (exponential function behaviors)

(0,1) & (1, b)

New cards

42

What does ‘k’ stand for in a*b^(x-h) +k (exponential models)

k = horiz. asymptote (not applicable for everything)

New cards

43

Residual = ?

actual-predicted

New cards

44

If the residual value is negative?

overestimate - predicted value too high

New cards

45

If the residual value is positive?

underestimate - predicted value too low

New cards

46

What does log base 2 look like?

(1,0) & (b,1)

New cards

47

What kind of inputs & outputs do log models have?

proportional inputs, additive outputs

New cards

48

What kind of inputs and outputs do exponential models have?

additive inputs, proportional outputs

New cards