Power Players
This type of function grows rapidly, but its growth rate is proportional to the input.
Exponential Growth
This type of function grows exponentially, but its growth rate is constant.
Exponential Function
If a population grows exponentially at a rate of 20% per year, how will it change in 5 years?
Population Growth
Simplify the expression (2x^2 + 3x) + (x^2 - 2x).
Simplifying Expressions
This identity states that a^2 + b^2 = c^2, where c is the hypotenuse.
Pythagorean Identity
When you raise a number to a power, you multiply it by itself that many times.
Power to the nth
A function that raises a number to a constant power is an example of this type of function.
Power Function
If you invest $100 at an annual interest rate of 5% compounded annually, what will you have in 10 years?
Compound Interest
Use the power rule to simplify the expression (x^3)^2.
Power Rule
This identity states that (a + b)^n = ?.
Power Sum Identity
What happens when you raise a number to a negative power?
Negative Power
What type of function is characterized by a squared variable?
Quadratic Function
If your electricity bill increases by 10% each year, and you currently pay $50 per month, what will you pay in 3 years?
Electricity Bill
Use the product rule to simplify the expression (x^2)(3x).
Product Rule
This identity states that (a + b)(a + c) = ?
Product Sum Identity
What is the result of raising a number to the power of zero?
Power of Zero
What type of function has a constant rate of change?
Linear Function
If a bacteria culture grows at a rate of 30% per hour, and there are initially 100 bacteria, how many will there be in 4 hours?
Bacteria Growth
Use the quotient rule to simplify the expression (x^3)/(x^2).
Quotient Rule
This identity states that (a + b)(a - b) = ?
Difference Product Identity
When you raise a number to a power and then raise that result to another power, what is the final result?
Power of a Power
What type of function has a variable raised to the power of three?
Cubic Function
If the inflation rate is 2% per year, and you have $1000 today, how much will it be worth in 5 years?
Inflation Rate
Use the chain rule to simplify the expression (x^2 + 3x)^2.
Chain Rule
This identity states that (a + bi)(a - bi) = ?.
Conjugate Identity