Quadratic Functions
Exponential Functions
Logarithmic Functions
100
Find the x-intercepts of the equation x^2+15x+36.
(-3,0) and (-12,0)
100
Determine which function has a steeper graph: f(x)=40(.9)^x g(x)=40(.1)^x
g(x)=40(.1)^x is steeper (decays more quickly) than f(x)=40(.9)^x
100
Solve for x (give an exact value): 9e^(3x+5)=18
x=(ln(2)-5)/3
200
Without a calculator, determine the domain and range of the following function: y=-3(x+2)^2-4
Domain: (-inf,inf) Range: (-inf, -4)
200
You initially have 50g of some substance. This substance has a half-life of 9 days. Determine a formula for the amount of the substance left after t days.
A(t)=50(.5^(1/9))^t
200
Someone modeled the goldfish population in a particular pond in the year 2005. They found that there were 50 goldfish. If the goldfish population grows at a rate of 3% a year, how many years after 2005 will it take for the population to reach 67 goldfish?
t=log(67/50)/log(1.03), which is approximately 10 years.
300
Mary Beth could jump 42 times each minute. How many times could she jump in 8 minutes?
What is 336 times?
300
You invest $400 in an account that pays 8% compounded daily. How much money will you have after 11 years?
You'll have $964.27.
300
5 x 6 x 7
What is 210?
400
Rob could run 7 miles in one hour. At that rate, how far could Robo run in 3 hours?
What is 21 miles?
400
768 x 3
What is 2304?
400
3 x 5 x 7
What is 105?
500
It takes 4 apples to make 1 pie. How many apples does it take to make 5 pies?
What is 20 apples?
500
$2.80 X 4
What is $11.20?
500
5 x 6 x 8
What is 240?
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