You're Simply Radical Dude
Brain MalFunctioning
Autobots Roll Out
Polymania
100
Simplify. Your answer should only contain positive exponents.
(2^3(2^2)^3)/(2^-3*2^0
2^12
100
h(t)=T^2+4T
Find h(6)
60
100
Give the parent function and describe the transformations for the function below:
f(x)=-3sqrtx-7
Square Root Function
Reflection across x axis, vertical stretch by 3, shift down 7.
100
Simplify the expression.
(-7a^4-2+6a^3)+(2a^2+2+4a^4)+(a^4+7a)
-2a^4+6a^3+2a^2+7a
200
Simplify. Your answer should only contain positive exponents.
(3xy)/(-x^4*2x^0)
(-3y)/(2x^3)
200
Find the value of x when f(x)=15
f(x)=4x-39
x=13.5 or 27/2
200
Give the name of the parent function and describe the transformations:
g(x)=(-1/3(x+4))^3
Cubic Function
Reflection across the y-axis, horizontal stretch by 3, shift right by 4.
200
Is the following a polynomial? Explain your answer in one sentence.
f(x)=2x^7-1/2x^10+3x^(3/4)
No, polynomials can't have fractional or negative exponents.
300
Simplify. Your answer should only contain positive exponents.
((2^-3)/(2^2*2^-4))^3
1/2^3
300
All or nothing! Determine if the graphs represent a function. If it does, find the domain and range.
Left graph: Yes, it is a function. Domain:
(-infty,infty)
Range:
[-1,infty)
Right graph: Not a function.
300
Write a function with the following transformations:
Quadratic function with a horizontal stretch by 5 and a vertical shift 2 units down.
f(x)=(1/5x)^2-2
300
Draw an angry cat
400
Simplify. Your answer should only contain positive exponents.
(x^-4y^0z^-1)^2/(x^0y^4*y
1/(x^8y^5z^2
400
Identify the domain and range of the following function.
y=sqrt(x+5)
Domain:
[-5,infty)
Range:
[0,infty)
400
Describe the transformations that would turn the blue parent function into the green function
Bonus: Give the equation (300 pts)
Reflection across the x-axis, shift down 2 units.
Bonus: f(x)=-(x^2)-2
400
Mr. Chong is trying to find the sweet spot for his lottery ticket addiction. R=400+10t-.25t^2 represents the relationship where R is the total rewards earned from tickets and t is the amount of lottery tickets purchased per day. Set your window to xmin=-10, xmax=50, ymin=-10, ymax=1000
a. How much would Mr. Chong win if he bought only 50 tickets?
b. If Mr. Chong wanted to maximize his dopamine hits and lottery winnings, how many tickets should he buy using his daughters chemotherapy go-fund-me?
a. $275
b. 20 tickets, $500.