We put the fun in FUNCTIONS!
We are EXPONENTS on LOGARITHMS!
We have a lot of INTEREST in math!
Math puns are the first SINE of madness!
Girls just want to have FUNDS!
100
Write the point (-3,7) in function notation.
f(-3)=7
100
Solve for r. Round to 2 decimal places.
r = 1.34
100
Find the cost and revenue function if Mrs. Buckner pays $4,200 to start her company, buys her products for $2 each, and then sells each product for $5.
C(x) = 2x + 4200
R(x) = 5x
100
Name the period, amplitude, and midline of the function
f(x)=2sin(3x)-4
Period:
(2pi)/3
Amplitude:
2
Midline:
y = -4
100
What is the growth factor and growth rate of the equation below?
f(x)=200(0.87)^x
Growth Factor: 0.87
Growth Rate: Decay of 13%
200
Charlie worked for a stone-setting company this past summer. The function E(t) represents Charlie’s earnings E as a function of time worked t (in hours).
Interpret E(9) = 100
For 9 hours of work, charlie earned $100
200
Given the equation, what is the asymptote?
y=-2(2)^x
y = 0
200
Find the break-even point if Mrs. Buckner pays $4,200 to start her company, buys her products for $2 each, and then sells each product for $5.
1400 products
200
Find the period, amplitude, and midline
Period:
pi
Amplitude:
4
Midline:
y = -2
200
Kirsten has $500 in her savings account. She is able to save $50 each month, m. Find the function of Kirsten's savings, S, in terms of the months she saves.
S(m)=50m+500
300
Find the rate of change for the function over the interval [-1,5].
f(x)=-x^2+4x+1
0
300
What is the leading coefficient and degree of the polynomial?
P(x)=6x^2-7x+2x^3-4x^4
Leading Coefficient: -4
Degree: 4
300
If the function of quantity can be written in terms of price as:
q=f(p)=500-3p
Find the equation (in simplest form) for revenue in terms of price.
R(p)=-3p^2+500p
300
SURPRISE: What is Mrs. Buckner's daughter's name?
Bonus 100 points: What is her middle name?
Ava Kathryn
300
Find the relative change of a bank account from [8,14] if the function of funds is represented by
f(x)=x^2-6x+5
457%
400
The function f(x) shows the relationship between time, in minutes, and steps Mrs. Buckner walked.
Interpret the rate of change if we know...
(f(30)-f(1))/(30-1)=67
Mrs. Buckner walked 67 steps per minute in the 30 minutes she walked
400
Mr. Bennett invests $1000 in an account that accrues 4% interest annually. How much money would the account have in 5 years?
$1,216.65
400
Find the maximized revenue if the revenue can be given by the function
R(q)=-q^2+112q-2136
The maximum revenue is $1,000 if they sell 56 units.
400
if f(g(h(x)))=12ln(x^2+5)
give the equations of the functions of f(x) , g(x), and h(x)
h(x)=x^2+5
g(x)=ln(x)
f(x)=12x
400
A radioactive asymptote decays at a rate of 0.2% per hour. If there is 1200 mg at the start, how much of the isotope will there be in 3 days?
1,038 mg
500
Write a function C = f(x) such that the exponential graph goes through (-2, 8) and (3,60.75).
f(x)=18(1.5)^x
500
Bacteria grow exponentially at a continuous rate of 6% per day. If there are 500 bacteria at the start, how many days would it take to have 2,000 bacteria?
24 days
500
The Lazy Boys are planning to have a concert during the Thanksgiving weekend. If the ticket is set to be $75 each, then 1800 tickets will be sold. For each $1 increase in the ticket price, 20 fewer tickets are sold. What should be the price of each ticket to maximum revenue, and what will be the maximum revenue?
$82.50 per ticket and they will make $136,125 in revenue
500
Write the trigonometric equation for the function with
a period of 6. The function has a maximum of 3 at
x = 2 and a minimum of –1.
f(x)=2sin(pi/3x)+1
500
Mrs. Buckner paid $30,000 for her car which depreciates at a rate of 5% per year. When will her car be less than $5,000?
35 years