Unit 4: Linear Functions
Unit 4: Derivatives
Unit 4: Exponential Functions and Logarithms
Unit 4: Compound Interest
Unit 1: Shadows
Unit 2: Fireworks
Unit 3: Bees
100
Find the slope between the points (1, -19) and (-2, -7)
-4
100
What is a derivative?
A derivative represents the instantaneous rate of change of a function at a particular point
100
The function below is growing at what percent?
f(x)=2(1.33)^x
33%
100
Find the value of a $600 investment that compounds yearly at an annual interest rate of 4% for a total of 10 years.
600(1+.04/1)^(1*10)=$888.15
100
What is the measure of one interior angle in a regular nonagon (9-sides)?
140 degrees
100
Multiply:
(x+6)(x-5)
x^2+x-30
100
Mr. Paul's classroom is 30 feet long and 20 feet wide. How long is the diagonal across the room?
36.06 feet or
10root()(13)
200
Write the equation of the line with a slope of 3 that goes through the point (1, 5).
y = 3x + 2
200
Find the derivative of the the function when x = 2.
f(x)=x^2+3
4
200
Write the following in log form:
6^x=563
log_6(563)=x
200
Find the value of a $1200 investment that compounds monthly at an annual interest rate of 5.5% for a total of 15 years.
1200(1+0.055/12)^(12*15)=$2,733.10
200
Find x
10.11
200
What is the equation of the parabola?
y=(x-3)^2-2
200
Find the area of the triangle: 
294.8 units2
300
Write the equation of the line that goes through the points:
(4, -2) and (-4, -4)
y=1/4x-3
300
The function below models the distance in meters a race car has traveled after x seconds. The derivate of the function when x = 6 is 20. What does the derivative mean in the context of this problem?
f(x)=1.8^x
The derivative means that the race car is traveling at exactly 20 meters per second after 6 seconds.
300
Write the following in exponential form:
log_12(x)=2
12^2=x
300
Find the value of a $20,000 investment that compounds continuously at an annual interest rate of 3.2% for a total of 5 years.
20000e^(0.032*5)=$23,470.22
300
Find x
12.96
300
Factor the following:
x^2+13x+42
(x+7)(x+6)
300
Find the angle
49.46 degrees
400
The number of foxes in Millennium park continues to grow this year. After 6 weeks, this year there were 20 foxes in the park. After 10 weeks, there were 32 foxes in the park. Write an equation that models how many foxes, y, were in the park after x weeks.
y=3x+2
400
Find f'(3) for the function below.
f(x)=2x^2-3x
9
400
Solve the following equation for x. Give your answer as a log.
15=3(1.48^(2x))
(log_(1.48)5)/2=2.05
400
You invest $500 in a college savings account that compounds yearly at an annual interest rate of 6%. How many years will it take for you to double your money?
log_1.06(2)
11.90 years
400
Find t
80
400
A baseball is thrown into the air. The ball reaches a maximum height of 40 feet after 3.5 seconds. It hits the ground after 7 seconds. What is one of the x-intercepts of this function? What is the vertex of this function? You must answer both correctly.
x-intercept: (7,0) or (0,0)
vertex: (3.5, 40)
400
Find the surface area of the trianglular prism: 
684 m2