EOC Review #1

Front

What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a fixed percentage over a period of time, leading to rapid increases as time progresses.

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a fixed percentage over a period of time, leading to rapid decreases as time progresses.

Front

How do you identify Exponential Growth or Decay in a function?

Back

If the base of the exponential function is greater than 1, it represents growth. If the base is between 0 and 1, it represents decay.

Front

What is the formula for calculating the average rate of change?

Back

The average rate of change of a function f(x) over the interval [a, b] is given by (f(b) - f(a)) / (b - a).

Front

How do you calculate the value of an asset after depreciation?

Back

The value after depreciation can be calculated using the formula: Value = Initial Value * (1 - Depreciation Rate)^Number of Years.

Front

What is the significance of the exponent in exponential functions?

Back

The exponent indicates the number of times the base is multiplied by itself, affecting the growth or decay rate of the function.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables, which can be solved simultaneously.

Front

How do you solve a system of equations using substitution?

Back

To solve by substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What is the purpose of graphing a system of equations?

Back

Graphing a system of equations visually shows the points of intersection, which represent the solutions to the system.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.