What are the x-intercept(s) for the following graph?
Graphs (Jeopardy 1)
(-8,0) (-4,0) (0,0) (4,0) (8,0)
If A = <2,-12> B = <7, -8> and C = <-3, 10>
find 4A + 2C - 3B
<-19, -4>
Re-write 4x = 1024 as a logarithmic function
log41024 = x
What are the 6 main trig functions that we have discussed in this class?
sine, cosine, tangent, secant, cosecant, cotangent
Find the mean of the following numbers:
10, 8, 17, 14, 1, 33, 2, 11
12
Identify any local or absolute maximums and minimums for the following graph:
Graphs (Jeopardy 2)
Local/Relative minimums at (0,0) and (1,4)
Simplify as far as possible:
-4(2+i)(5-3i)
-52+4i
Solve the following exponential equation:
32x-2 = 64
*HINT: Find a common base first!*
16/5 or 3.2
Find the missing side for the following triangle:
7.9996 or 8!
Is the following scenario considered a Binomial distribution? Why or why not?
A survey of 50 juniors and seniors was used to determine what prom theme was most requested. The principal went around and asked each of the 50 students in the survey. After hearing the previous person's answer, the next person in line gave their answer.
No!!! Overhearing answers could change the potential answer, and it doesn't specify how many options for the prom theme were given.
Identify the intervals where this graph is increasing and decreasing:
Graphs (Jeopardy 3)
Increasing: (-4,0) (2,6)
Decreasing: (0,2)
If f(x) = -2x+5 and g(x) = x2 + 10, find g(f(x)):
4x2 - 20x +35
Use what you know about log and exponential properties to solve for x:
5log5(3x+1)+3 = 13
x = 8
Use the following triangle setup to find missing angle B:
Law of Cosines (Jeopardy)
47.05 degrees
There are 12 yellow golf balls, 8 blue golf balls, 10 pink golf balls, and 7 orange golf balls in a bag. As part of a carnival game, you can pay $4 to pick a ball without looking. If you happen to pick an orange golf ball, you win $20. If you pick a blue golf ball, you win $12. If you pick a pink golf ball, you win $5, and if you pick a yellow golf ball, you lose. What is your expected value if you choose to play the game?
$3.79
Identify the end behavior for this graph:
*Don't forget to include both sides!*
Graphs Jeopardy 4
As x ---> -5, y ----> 0
As x ---> 5, y ----> 0
If you multiplied the following two matrices, BY HAND, what would the first line look like?
*You may check yourself with a calculator, but your work must match for credit!*
(Multiplying Matrices)
5(-8) + -9(4) + 2(-5)
-40 -36 -10 = -86
Use what you know about logs to solve for x:
4x+2 = 14
*HINT: You can't find a common base, so start by taking the Log of both sides!*
x = -.096322539
For the following trig equation, find the Period and the Phase Shift:
*BOTH ANSWERS MUST BE CORRECT TO RECEIVE CREDIT!*
Period: 5pi
Phase Shift: 15pi/ 16
Find the standard deviation of the following set of numbers:
.45, .48, .39, .59, .88, .95, .26, .08
*HINT: YOU WILL HAVE TO FIND THE MEAN FIRST!*
Mean: .51
Standard Deviation:
.177 or .18
Identify the intervals of positive and negative for the following graph:
*Be sure to use the correct symbols!*
Graphs: Jeopardy 5
Positive: (-infinity, -4.5) (-1.5, 0] (.5, infinity)
Negative: (-4.5, -1.5) (0,.5)
Write the equation for the following Piecewise Graph:
x2+1, x<2
-x+3, x>= 2
A new car costs $23,000. The value decreases by 15% each year. How long will it take for the car's value to be worth $15,000
2.63 Years
Simplify the following trig expression as far as possible:
sec2x
The average female shoe size can be represented by a normal curve. The average female shoe size is 8 with a standard deviation of .5. For a sample of 350 women, how many women could you expect to have a shoe size that was greater than 8.5 OR less than 6.5?
*HINT: Draw a normal curve!*
56.525 women or 57