Functions
If y=f(x), what is your input and what is your output?
x = input
y = output
For the exponential growth/decay formula f(x)=a*bx
What does a mean?
Starting value
What does it mean for a value to be an x-intercept of an equation?
Factor 2x2 + 8x
2x(x+4)
What are the two rooms next to us? You may not leave the classroom.
344 and 348
The temperature, in degrees Celsius, inside the machine after being turned on is a function of time, in seconds, given by the equation f(t)=22+1.3t
What does f(3) mean in this situation?
The temperature in Celsius after 3 seconds.
If you are increasing something by 15% each time, what is your growth factor?
1.15
If x equals 4, what is the solution to -4x2+7x-43?
-79
What is (2x+4)(3x-6) in standard form?
6x2-24
What are the 2 rivers and 1 basin whose watersheds form up what is generally considered to be the Central Valley
Sacramento, San Joaquin, Tulare Basin
What is the difference between the domain and range of a function?
Domain is input, Range is output
If you are decreasing something by 30% each time, what is your decay factor?
0.7
If I represent my dropping a ball from a window with the equation f(t)=-16t2+4x+42 where f(t) equals the height and t is the time, how high up was I when I dropped the ball?
42 feet
Put y=x2+8x-20 into factored form
y=(x+10)(x-2)
What is a moon called when it is going between a half moon and a full moon? 2 words required
Waxing Gibbous
What is the inverse function of f(x) = 7x+14
Shrek is losing his swamp. He starts with 10,000 acres and is losing 1/4 a day. Write an equation representing this situation.
F(s) = 10,000*(3/4)s
If I shot an arrow represented by the equation A(t)=-16t2+65t +5 where A(t) is the height in feet and t is the time in seconds, what does 35t represent?
The upward speed of the arrow WITHOUT gravity.
What are the x-intercepts of x2+6x-27?
(-9,0) and (3,0)
What is the group of mammals that includes kangaroos, wallabies, and koalas called?
Marsupials
What is the slope between points (4,16) and (11,37)?
3
If I buy $300 in Nvidia stock and its value increases 20% each week, how much money will I have after 2 weeks?
$432
If I start with the graph of the equation y=x2 and change it so that the equation is now y=(x-5)2-7, what did I do to the vertex of the equation? What is the vertex?
I moved the vertex right 5 and down 7, so the vertex is (5,-7)
Factor 6x2+27x+6 and find the VERTEX
(6x+3)(x+4) and (-3,-21)
San Francisco Bay is (surprise) not a "real" Bay. What is the correct term for the body of water that it is, where salt water and fresh water mix?
Estuary