1A/B
1.2 The equation for Average Rate of Change between the points (x_1,y_1) and (x_2,y_2)
What is (y_2-y_1)/(x_2-x_1 ?
2.1 The term for a sequence with a common difference or constant rate of change
What is an Arithmetic Sequence?
2.9 The logarithm
log_3(81)=4
as an exponent
What is 3^4=81 ?
This is the period of f(x)=sin(x) and f(x)=cos(x) .
What is 2pi ?
When the question says "increasing", they mean this.
The slope (rate of change) is positive.
1.2 The average rate of change on the given intervals y=7x+10 on -6<=x<4
What is 7?
2.2 The function f(x)=2(0.6)^x shows exponential ______.
What is exponential decay?
2.9 The logarithmic function in expanded form log(4x^2y) .
What is log4+2logx+logy?
The value of
sin(pi/3)
What is
root2 3/2
?
When the question says the rate of change is decreasing, they mean the function is this.
Concave down.
1.6 The end behavior of the function
p(x)=6x^5-x^4+1
shown in limit notation.
What is
lim_(xrarroo)p(x)=oo
and
lim_(xrarr-oo)p(x)=-oo
?
2.3 A function that models the scenario, 900 grams of radioactive material m decays at a rate of 2.6% per year t.
What is
900(97.4)^t
or
900(1-0.026)^t
?
2.9 Write as a single log expression 2log(3x)-4log(3y)
What is log((3x^2)/(3y^4))
These angles have a cosine value of
-1/2 .
What are (2pi)/3 ?
When the questions says the function is decreasing at an increasing rate, they mean this.
1.5 If a function has a nonreal zero at -3 +4i , it is guaranteed to have this other nonreal zero.
What is -3-4i ?
2.7 f(x)=x^2-4
and
g(x)=3-x
. f(g(5)) is this.
What is 0?
2.13 The solution to the equation 3^(4x)=27^(2x+1
What is x=-3/2
This is the formula to find frequency (b) given the period (P). Find the frequency is the period is 12.
What is (2pi)/P and b=pi/6 ?
sin^2(x)+cos^2(x) is always equal to this number.
1
1.5 The intervals of the function f(x)=x^2-5x+5 when
f(x)<=0
What is
1<x<4
or (1,4) ?
2.8 The inverse function of f(x)=sqrt(x-3)+2
What is
f^-1(x)=(x-2)^2+3
?
2.10 The inverse of the function g(x)=ln(2x+3)+10
What is e^x-13/2?
A sine function that has the following attributes: Amp 3, Period π, Phase Shift left 8, Vertical Shift down 4.
What is y=3sin(2(x+π/8))-4?
On a circle, cos(theta) is the __-coordinate, sin(theta) is the __- coordinate and
tan(theta) is the ______.
cos(theta)=x/r ,
sin(theta)=y/r and tan(theta) is the slope.