2.1 Minor

Front

What is exponential decay?

Back

Exponential decay is a decrease in a quantity that follows an exponential function, where the rate of decrease is proportional to the current value. An example is the depreciation of a car's value over time.

Front

What is the domain of the function y=2^x?

Back

The domain of the function y=2^x is all real numbers, represented as (-∞, ∞).

Front

What is the range of the function y=2^x?

Back

The range of the function y=2^x is all positive real numbers, represented as (0, ∞).

Front

What is the y-intercept of the function y=2^x?

Back

The y-intercept of the function y=2^x is the point (0, 1).

Front

What is the percent decrease if a value decreases from 100 to 80?

Back

The percent decrease is 20%, calculated as ((100 - 80) / 100) * 100.

Front

What is exponential growth?

Back

Exponential growth is an increase in a quantity that follows an exponential function, where the rate of increase is proportional to the current value. An example is population growth.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the formula for calculating percent change?

Back

Percent change is calculated using the formula: ((new value - old value) / old value) * 100.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the point where the graph intersects the y-axis, indicating the value of y when x is 0.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time, both at rates proportional to their current values.