Unit 1
The equation for the average rate of change.
What is
(y2-y1) / (x2-x1)
Identify if the function is linear or exponential, and find the slope or ratio.
f(x) = 5x - 8
What is linear, slope = 5?
Rewrite the exponent as a log:
811/2 = 9
What is
Log819 = 1/2
The value of this expression: sin pi/3
What is (root 3)/2?
The period of the tangential function:
f(theta) = tan(4(theta))
What is pi/4?
An equivalent form for
f(x) = 36 * 4x
What is
f(x) = 6 * 2(2x)
The transformations in this graph:
f(x) = 2(4x)
What is horizontal dilation?
The inverse function of
(1/3)x2+3
What is
the square root of 3x - 3
The way to find the period through a sinusoidal function.
What is
Period = 2pi/b or 2pi/b
Or when the wave completes its cycle
The inverse of this function:
f(x) = 5 sin x - 3
What is f-1(x) = sin-1((x-3)/5)?
The vertical asymptote of
(x-9)(x+3) / (x+3)(x-4)?
What is x=4?
A linear or exponential function:
(8,1),(9,3),(10,9)
What is an exponential function?
Write this as a single logarithm:
2ln5 - 4lnx
What is ln(52/x4)
The equation for the midline and the amplitude:
min = -6, max = 10
What is y = 2 and amplitude = 8?
The exact values according to the unit circle:
4-3cosx = 7
What is x = pi?
The end behavior of this polynomial function
-10x3 + 9x2 - 50x4 + 24x -12
What is when x -> infinity, f(x) = -infinity
when x -> -infinity, f(x) = -infinity
Create a function for this problem:
30 a's, "a" increases by 45.5% per "b"
What is
a(b) = 30(1.455)b
Solve this inequality:
g(x) = ln(x-4)+8
What is
ex-8+4 = g-1(x)
The frequency of this function:
f(x) = 35sin(2(theta)) -7
What is 1/pi?
The value of this expression according to the unit circle:
cot (5pi)/3
What is -(root 3)/3?
The leading coefficient of the third term when
(x-4)4 is expanded. (hint: pascals triangle)
What is 48?
What are the values of "a" and "d" in the function f(x)= asin(b(x+c))+d
when the min = (3,3) and the max = (7,7)
What is a = 2 and d = 5
The population in 10 years with 275,000 current people and a growth rate of 2.5%, using Pert.
What is 353,107 people?
The measure of the angle if the radius = 6.11 and the length of the arc subtended by the angle = 30.6.
What is around 5.008 radians?
The exact value of this trig equation:
sin(2x) sec(x) = 0
What is x = 0, pi, 2pi?