For the following table, explain why it is or is not a function
-2 ( an input ) has two outputs
Sketch the graph of
-3x^7+...
"With zeros="-3, -1, -1, 2, 4, 4, 5
Goes up left down right
Bounces at -1 and 4
Solve without a calculator
ln(e6)=y
y=6
Convert from radians to degrees
52o
(13pi)/45
Sum and Difference
tan(15^o)
2-sqrt3
What's a math teacher's favorite kind of tree?
Trigonometry or Geometry
"Find " f(g(4)) if f(x)=2x-5 and g(x)=x^2 -8
11
Find the Linear equation through the points (0,4) and (3,13)
y=3x+4
Solve without a calculator
logx+1(64)=2
x=7
Convert radians to degrees
(5pi)/12
75o
Sum and difference
tan(105^o)
-2-sqrt3
Why do teenagers always travel in odd numbers?
Because they can't even!
Find the inverse of
f(x)= x^3-8
root3(x+8
Find the Linear equation through the points (1,5) and (4,17)
y=4x+1
Simplify using log/ln rules
ln(e^3/x^4)
3-4ln(x)
Find the arc-length of a 45-degree sector cut from a circular disc of radius 6 inches.
4.71
Sum and Difference
tan(75^o)
2+sqrt3
Translate:
I ate some pie
Describe the transformations of
2(x-3)^2+4
Vertical stretch by 2
Right 3
Up 4
Find the Quadratic equation through the point (1,6) with Vertex (3,2)
y=(x-3)^2+2
How much money do you have to invest to accumulate $20,000 after 10 years if you can get a 8% interest rate compounded monthly?
$9,010.47
Identify the damping factor of the damped oscillation function x2sin(2x) and graph.
damping factor is x2
Prove
sin(theta-pi/2)= -cos(theta)
sin(-pi/2+theta)= -cos(theta)
sin(-(pi/2-theta))= -cos(theta)
-sin(pi/2-theta)= -cos(theta)
-cos(theta)=-cos(theta)
What is pi to 4 decimal places?
3.1415
Describe the transformations of
-5(x+3)^2-1
Vertical stretch by 5
Reflected over x-axis/ upside down
left 3
down 1
Find the Quadratic equation through the point (3,5) with Vertex (5,-3)
y=2(x-5)^2-3
How much money do you have to invest to accumulate $5,000 after 3 years if you can get a 7% interest rate compounded monthly?
$4,055.39
A building that is 60 feet tall casts a shadow along the ground that is 85 feet long. What is the angle of elevation, A, of the sun? Round to the nearest degree.
~~35^o
Prove
cos(theta-pi/2)= sin(theta)
cos(-pi/2+theta)= sin(theta)
cos(-(pi/2-theta))= sin(theta)
cos(pi/2-theta)= sin(theta)
sin(theta)=sin(theta)
Spell your teacher's last name
Soosloff