Exponential Equations Graphs and Tables

Front

What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. For example, if a population doubles every year, it is experiencing exponential growth.

Tags

CCSS.HSF-LE.A.1A

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease. For example, radioactive substances decay exponentially over time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential equation?

Back

Tags

CCSS.HSF.LE.A.2

Front

How do you identify Exponential Growth from a graph?

Back

In a graph, Exponential Growth is identified by a curve that rises steeply as 'x' increases, indicating that the value of 'y' increases rapidly.

Tags

CCSS.HSF-IF.C.7E

Front

How do you identify Exponential Decay from a graph?

Back

In a graph, Exponential Decay is identified by a curve that falls steeply as 'x' increases, indicating that the value of 'y' decreases rapidly.

Tags

CCSS.HSF-IF.C.7E

Front

What does the base 'b' represent in an exponential equation?

Back

The base 'b' in an exponential equation represents the growth or decay factor. If b > 1, it indicates growth; if 0 < b < 1, it indicates decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the rate of decay in the model A=1200(0.85)^t?

Back

The rate of decay is 15%, which is calculated as 1 - 0.85 = 0.15 or 15%.

Tags

CCSS.HSF-IF.C.8B

Front

How do you write an exponential equation from a given graph?

Back

To write an exponential equation from a graph, identify the initial value (y-intercept) and the growth/decay factor (base) by analyzing the curve's behavior.

Tags

CCSS.HSF.LE.A.2

Front

What is the difference between Linear Growth and Exponential Growth?

Back

Linear Growth increases by a constant amount over equal intervals, while Exponential Growth increases by a constant percentage, leading to faster growth over time.

Front

What is the difference between Linear Decay and Exponential Decay?

Back

Linear Decay decreases by a constant amount over equal intervals, while Exponential Decay decreases by a constant percentage, leading to faster decay over time.

Tags

CCSS.HSF-IF.C.8B