Quadratics
What is (-5, -10)?
Give an example of a cubic binomial with positive left end behavior.
What is [insert any cubic binomial with negative leading coefficient]?
This the simplified form of the rational expression (x2 - 36)/(x2 - 4x - 12).
What is (x + 6)/(x + 2)?
What transformations happen to the parent function f(x) = |x| to get to the graph of g(x) = 3|x-2| + 7?
What are:
Vertical stretch by a factor of 3
Shift to the right 2
Shift up 7
This is the mathematician that e is named after.
Who is Leonhard Euler (pronounced oiler)?
For a certain company, the daily cost to produce x number of products is given by C(x) = 0.04x2 - 8.504x + 25302. Find the number of units to produce daily in order to minimize costs. Round to the nearest whole number.
What is 106?
Divide 3x4 - 2x2 + x - 10 by x + 6. Give the quotient and the remainder.
This is the simplified form of the rational expression x/(x+1) - 1/(x2 + x).
What is (x - 1)/x?
What is g(x) = -\sqrt(0.5x) - 4?
What are Mr. Lester's cats names?
Who are Kenai and Luna?
For a standard form quadratic function f(x) = ax2+bx+c, this point is the y-intercept.
What is (0, c)?
Find all of the zeros of x3 - 5x2 - 9x + 45 without using a graphing calculator.
What are -3, 3, 5?
This is how you correctly spell the term for fake solutions for rational equations.
What is E-X-T-R-A-N-E-O-U-S?
These are the bases for the "natural log" and the "common log".
What are e and 10?
Give the mean, median, and mode of the data set {1, 1, 5, 11, 17, 28, 51}.
What is...
mean is 16.286
median is 11
mode is 1?
This is the factored form of the quadratic f(x) = 3x2 + 11x - 20.
What is (3x-4)(x+5)?
Find a polynomial function in expanded form with a zero of x=1 with multiplicity 2, a zero of x=0 with multiplicity 1, and a zero of x = -3 with multiplicity 1.
What is g(x) = x4 + x3 - 5x2 + 3x?
Give any holes, VAs, or HAs for this function if there are any. f(x) = (x2 - 14x + 40)/(4x2-400).
What are
Hole: at x = 10
VA: at x = -10
HA: at y = 1/4
If 3x + 1 = 9, what is x?
What is ~1.893 or log3(8)?
This is the mascot for Conway High School.
What are the wampus cats?
What is x2+6x+13?
This is where I find the zeros of a function on a graph of that function.
What is where the function hits the x-axis?
The amount of a certain medicine available in your bloodstream in milligrams at t minutes after ingesting a 50 mg dose of the medicine follows closely the function M(t) = 48/((t/14-3)^2+1) + 0.5. Using a graphing calculator, find the approximate maximum and explain it in context.
What is "after 42 minutes, about 48.5 mg of the medicine are available in the bloodstream which is a maximum?"
Mr. Lester invests $20,000 in a savings account that gives 4.4% interest that compounds monthly. He can buy the boat he wants when he has $50,000 in this account. To the nearest tenth, in how many years can he buy a boat?
What is about 20.9 years?
The amount of a certain medicine available in your bloodstream in milligrams at t minutes after ingesting a 50 mg dose of the medicine follows closely the function M(t) = 48/((t/14-3)^2+1) + 0.5. Without a calculator, give the horizontal asymptote and explain its meaning in context.
What is y = 0.5, meaning as time passes, your blood will be filtered until only about 0.5 mg of the medicine stays available in the bloodstream.