A1 Big Ideas - Ch. 6 Review

Front

What is the difference between exponential and linear behavior in data?

Back

Exponential behavior shows a constant percentage increase over time, while linear behavior shows a constant absolute increase.

Front

How do you identify exponential growth in a real-world scenario?

Back

Look for situations where a quantity increases by a fixed percentage over equal time intervals, such as population growth or compound interest.

Front

What is the general form of an exponential function?

Back

Front

How do you write an equation for exponential growth?

Back

Front

What is depreciation in financial terms?

Back

Depreciation is the reduction in the value of an asset over time, often due to wear and tear or obsolescence.

Front

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

Back

Front

What is the formula for calculating the future value of an investment with compound interest?

Back

Front

What does a graph of an exponential function look like?

Back

An exponential function graph rises rapidly and has a J-shaped curve, starting slowly and increasing steeply.

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

How can you determine if a function is exponential from a table of values?

Back

Check if the ratio of consecutive values is constant; if it is, the function is likely exponential.