Attributes of Graphs
Domain, Range, Max, Min, Zero
How is the unit circle divided?
It is a divided 360 degree circle divided into 4 equal 90 degree parts.
How do you determine if a equation is a function?
By checking to see if any x-values are repeated (or vertical line test).
What type of triangle is a 30°, 60°, 90° triangle?
A special right triangle.
Its an up, and down curve.
A function is even if f(-x)=f(x) for all x-values in the domain. A function is odd if f(x)=-f(x) for all x-values in the domain.
How many radians are in a circle?
There are 2 pi radians in a circle.
How do you find slope?
By using the formulas m=rise/run or
m=(y2-y1)/(x2-x1)
How do you find the hypotenuse?
It is the longest side of a right triangle and is the side across from the right angle.
Where is the axis of symmetry on a sine graph?
It is through the center of the graph (y-axis)
What is the domain and range of y=5x2+2?
Domain = lR
Range = x ≥ 2
Find the inverse of y=(x+2)2-8
y = √x+8 -2
Find the altitude of the equilateral triangle with a side length of 16.
x=8√3
What is 4Cos0-Sec(pi)+2Sin(3(pi))/2?
1
Find the period in 21cos((pi/12)(t-9))+26
Period=24
What is the removable discontinuity in
(x2 -25)/(x-5)?
Removable discontinuity at x = 5
Given f(x)=x2-3 and g(x)=5x, find g(f(4))
g(f(4))=65
Use the law of sine to find the measure of length c, when m<C=115, m<B=42, and b=45
c≈60.95
Find the rotational angle that terminates in quadrant ll with a negative reference angle of 200.
360-200=160°
Convert the sine function 2sin(x)+1 into cosine.
f(x)=cos(x-(pi/2))+1
Find all the intervals of increase in
[x+7, x<3
x2+4, 3≤x<15
-2x, x≥15]
Interval of increase: (-∞,15)
If f(x)=
[14-x, x<-8
x2, -8≤x<5
2x+3, x≥5]
f(3)=32=9
Use law of cosine to find m<a, if AC=6, AB=7, and BC=8
m<a=cos-1(0.25)
What is Csc(5(pi)/3)?
(2√3)/3
Show the transformation of the graph y=sinx into the graph y=5(3x-(pi/3))+4
a=5 (amplitude)
b=3
period=2pi/3
c=pi/9 (right)
d=4 (up)