What are the zeros of the function?
f(x) = (x - 1)(x + 3)(x - 7)
Zeros are 1, -3, 7
100
Find the value of x.
9^(x) = 1
x = 0
100
A system is found to have NO SOLUTION. Define the system using terms consistent / inconsistent and independent / dependent.
Inconsistent, Independent
100
Factor the following:
x^2 - 36
(x+6)(x -6)
200
What are the VERTICAL ASYMPTOTES?
5x / (x^2 + 2x - 3)
x = -3, -1
200
If f(x) = 20x / (5x - 2) what kind of asymptotes does it have? What are they? Answers must be given as equations.
Vertical x = 2/5, Horizontal y = 4
200
Put in exponential form (and solve.)
Log(x) = 2
x = 100
200
A system is found to have Infinitely Many Solutions. What does this mean? Describe it what the lines look like and define the system using consistent / inconsistent, independent / dependent.
Lines are the same, consistent and dependent.
200
Factor the following:
x^2 -3x -28
(x - 7) (x + 4)
300
A degree 3 polynomial has zeros: 0, -2, and 1. Give the polynomial function in simplified form.
x^3 + x^2 - 2x
300
If f(x) = 3x / (5x - 1) and g(x) = 1/x
Find the simplified form of (f o g)(x) and the DOMAIN
(f(g(x)) = 3/(5-x) and
DOMAIN = {x | x is not equal to 5 or 0}
300
Use Log rules to combine.
3Log(x) - Log(x-3)
Log(x^3 / (x-3))
300
Solve the following system of equations. Give the solution and define your system as consistent / inconsistent, independent / dependent.
x - 4y = -18 and -x + 3y = 11
(10,7) consistent, independent
300
A Degree 4 function has zeros -2 with multiplicity 2; 4 with multiplicity 2, and a y-intercept at (0,-5).
Is it facing UP or DOWN? Send someone to the board to DRAW IT.
Down
400
Find all the zeros of the function:
3x^3 + 3x^2 -36x
x = 0, 3, -4
400
Find the Average Rate of Change and the Equation of the Secant Line:
f(x) = 2x^3 - 5 from 1 to 2
Average Rate of Change = 14
y = 14x - 17
400
Send someone to the board to write your answer.
Solve for the EXACT and APPROXIMATE answers:
5 = 3e^(2x)
x = ln(5/3) / 2 and x = 0.26
400
Solve the system of equations. Give your solution and define the system as consistent / inconsistent, independent / dependent.
x + 2y + 5z = -17
2x - 3y + 2z = -16
3x + y -z = 3
(-1, 2, -4) Consistent, Independent
400
Factor the following:
3x^2 - 5x -2
(3x + 1)(x - 2)
500
*** JEOPARDY DAILY DOUBLE!!! ***
DISCRETE PROBLEM - You need all 4 correct answers to win, write them on the board.
Find f(2), Domain, y and x intercepts given as ordered pairs