Calculate
Graphs
Word Problems
Evaluate
Polynomials
100
(f o f)(x) when f(x)=x^2 - 6x + 1.
What is x^4 - 12x^3 + 32x^2 + 24x -4?
100
The end behavior of a line with a positive slope.
What is down to the left, and up to the right?
100
The most common parent function when dealing with money.
What is a line?
100
-3 is a zero of the polynomial y=-x^3 - 6x^2 + 4x - 5.
What is no?
100
There are five potential roots for the polynomial.
What are +-1, +-2, +-3, +-6, +-1/2
200
f(x)=3x^2 +1; g(x)=4x^2 - 4x +7. Find (f+g), (g-f), (f/g)
What is 7x^2 -4x+ 8; x^2 -4x + 6; (3x^2 + 1)/(4x^2 - 4x + 7)?
200
Slope intercept form of the equation of the line that goes through (-1,8) and perpendicular to the line y=-1/4x - 6.
What is y=4x+12?
200
Let d(t) represent the number of dogs in the U.S. and c(t) represent the number of cats in the U.S., t represents the number of years from the year 2000. Interpret p(7) if p(t) is cats and dogs combined.
What is the number of cats and dogs in the year 2007?
200
A piece-wise graph is split by the y-axis, we use the function in the region.
What is the function where x<0?
200
Using synthetic division, you can find the quotient of (5x^3 -2X^2 + 7X - 1)/(x+4).
What is 5X^2 - 22X + 95 - 381/(x+4)?
300
Evaluate the function f(x)={3x-1; x<4 and x^2 - 2; x>=4} for f(-3), f(7), and f(2).
What is -7, 47, 5?
300
The parent function with the graph that looks like half of a sideways U.
What is √x?
300
The following are daily slopes of lines representing annual sales y in terms of years x. Interpret the slopes of m=170, m=0.
What is an increase of $170 per year, and breaking even.
300
The points this test is worth.
What is 100?
300
Describe the types of roots for the polynomial
What are one positive and two negative, or three positive and zero negative?
400
The rational zeroes of x^3 + 9x^2 + 24x + 20.
What are -2, -5?
400
The vertex, axis of symmetry, and x-intercepts for the polynomial f(x)=4x^2 + 4x +5.
What is (-.5,4), x=-.5, and no x-intercepts?
400
A tray is 18 inches laying flat, and has a height of x inches. There are particular values we can't have for certain reasons.
What are 0 & 9 because then we don't have a tray. That takes everything out.
400
(f o g)(3) when f(x)=2x+5 and g(x)=3x^3.
What is 167?
400
The polynomial has three roots. Name them.
What is -1, -1, 2?
500
The remainder of (x^4 + 10x^3 +13x^2 - 5x +2)/(x^2 + 2).
What is x^2 - 3x + 2 - [1/(x^2 + 2)]?
500
The first step to graphing a piece-wise function.
What is finding the function that satisfies that particular value?
500
A storage container 3x4x5 feet needs to hold 2 times as much stuff. Each dimension increases by the same amount to create the new dimensions.
What is 4x5x6 feet?
500
The inverse of f(x)=4x-7.
What is f^-1(x)=(x+7)/4?
500
The polynomial x^3 - 7x^2 - 20x +96 has three roots
What is 3, -4, 8?