Things to know for AP Test

Question 1

When asked for the maximum or minimum what value do you give

Answer 1

Y-value

Question 2

Average rate of change formula

Answer 2

(y2-y1)/(x2-x1)

Question 3

Point slope formula

Answer 3

y-y1=m(x-x1)

Question 4

Difference quotient formula

Answer 4

(f(x+h)-f(x))/h *remember put (x+h) where ever x is

Question 5

Even functions are symmetrical to what axis

Answer 5

y-axis

Question 6

Odd functions symmetrical to what axis

Answer 6

No axis but centered around the origin

Question 7

How to find number of turning points

Answer 7

degree of polynomial subtract by1

Question 8

How to find all potential zeros

Answer 8

Constant/Leading coefficient

Question 9

How to find complex conjugate of a+bi

Answer 9

a-bi

Question 10

If degree of denominator is bigger than the numerator then the

Answer 10

Horizontal asymptote is y=0

Question 11

If degree of denominator is equal to the numerator

Answer 11

Horizontal asymptote is ratio of the leading coefficients

Question 12

If degree of the numerator is 1 bigger than the denominator

Answer 12

Horizontal asymptote is top/bottom

Question 13

Explicit formula of Arithmetic sequences

Answer 13

An=A1+d(n-1)

Question 14

Explicit formula of Geometric sequences

Answer 14

An=A1R^(n-1)

Question 15

Three key points of exponential

Answer 15

(-1,1/a), (0,1), and (1,a)

Question 16

Three key points of logs

Answer 16

(1/a,-1), (1,0), and (a,1)

Question 17

Arc length formula

Answer 17

S=Rθ

Question 18

Area of a sector formula

Answer 18

A=1/2(r^2)θ

Question 19

Linear Speed formula

Answer 19

V=RW W=angular speed R=radius

Question 20

Angular Speed formula

Answer 20

W=θ/T T=time

Question 21

Sin^2(θ)+Cos^2(θ)=1 two other ways

Answer 21

Cos^2(θ)=1-Sin^2(θ) and Sin^2(θ)=1-Cos^2(θ)

Question 22

Compound interest formula

Answer 22

A=P(1+r/n)^(nt) P=starting amount n=times per year
r=rate t=time

Question 23

Compounded continuously formula

Answer 23

A=Pe^(rt) P=starting amount n=times per year
r=rate

Question 24

1+Cot^2(θ)=Csc^2(θ) two other ways

Answer 24

1=Csc^2(θ)-Cot^2(θ) and Cot^2(θ)=Csc^2(θ)-1

Question 24

Tan^2(θ)+1=Sec^2(θ) two other ways

Answer 24

Tan^2(θ)=Sec^2(θ)-1 and 1=Sec^2(θ)-Tan^2(θ)

Question 25

Sin(2θ)

Answer 25

2SinθCosθ

Question 26

Cos(2θ)

Answer 26

Cos^2(θ)-Sin^2(θ), 1-2Sin^2(θ), and 2Cos^2(θ)-1