Prerequisites
These are the solutions to the equation |5x-4|=11.
What are -7/5 and 3?
The domain of the function in interval notation
f(x) = 4 sqrt(10-3x) + 8
The slope of the line that goes through the points (-3,12) and (8,-8).
The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x=2 and x=0, and a root of multiplicity 1 at x=-3. This is the equation for P(x).
What is P(x) = x2 (x-2)2 (x+3)2?
A population numbers 11,000 organisms initially and decreases by 6% each year. This is the formula for P, the population after t years of growth.
What is P = 11,000 (0.94)t?
These are the horizontal intercepts of the function f(x)=3|x-3|-3
What are 4 and 2?
What are x=4 and x=2?
What are (4,0) and (2,0)?
The average rate of change of f(x) = 4x2 - 3 on the interval [3, b].
What is 4b+12?
The x-intercept(s) of the equation 2x+3y=18.
What is (9,0)?
This is the equation y = x2 + 20x +91 in vertex form.
What is y = (x+10)2 - 9?
This is the exponential form of the logarithm log(b)=t.
What is 10t=b?
The solution to the system of equations:
-x + y = 4
4x - 3y = -14
What is (-2, 2)?
This is f(g(0)) given that
f(x) = 9x - 3 and
g(x) = 4 - x2
What is 33?
The equation for a line parallel to y=-5x+2 adn passes through the point (1, -7).
What is y=-5x-2
These are the zeros (real and non-real) of the function P(x) = x4 - 1.
What are -1, 1, -i, and i?
The solution to the logarithmic equation
log(x+4) - log(x+1) = 1
What is x = -2/3?
This is the interval notation for the solutions to |x+9|>1.
(-inf, -10) U (-8, inf)
This is the equation of the graph f(x) = 2x resulting from shifting 6 units upward, 4 units to the left, and reflecting about the x-axis.
What is f(x) = -2x-4 + 6?
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 170 minutes, the monthly cost will be $57.5. If the customer uses 900 minutes, the monthly cost will be $167. If 827 minutes are used, this is the total cost.
What is 156.05 dollars?
The horizontal asymptote (y=) of the function
f(x) = (3x2 + 5x + 2)/(2x2 - 7x - 4)
What is y=3/2?
This is the value of A when ln(r7s5 (r9s6)1/10) is expanded to Alnr + Blns.
What is 79/10 or 7.9?
The solution to the inequality in interval notation
x2 - 9x + 14 < 0
This is the inverse f-1(x) of the function f(x) = 4x - 5.
What is f-1(x) = (x+5)/4?
You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $44.95 plus 8 cents per minute. You would have to use this amount of minutes in a month in order for the second plan to be preferable. (round to the nearest minute)
What is 300 minutes?
This is the remainder of
(6x3 - 9x2 + 5x - 17)/(3x2 + 5)
6x3 - 9x2 + 5x - 17
3x2 + 5
What is -5x-2?
This is the domain in interval notation of the function
f(x)=log(-3x+7)
What is (-inf, 7/3)?