Growth/Decay and Radicals Flashcard

Front

What is the formula for exponential growth when starting with an initial value and a growth rate?

Back

The formula is y = a(1 + r)^x, where a is the initial value, r is the growth rate, and x is the time period.

Front

What does the term 'decay' refer to in exponential functions?

Back

Decay refers to a decrease in quantity over time, modeled by the formula y = a(1 - r)^x, where a is the initial value and r is the decay rate.

Front

What is the symbol for the square root?

Back

The symbol is called a 'Radical' (√).

Front

Back

The simplified expression is 2.

Front

Back

The starting value is 3.

Front

Back

The growth rate is 14%.

Front

Back

Front

What is the difference between growth and decay in exponential functions?

Back

Growth increases over time, while decay decreases over time.

Front

Back

The value is 1.

Front

What does the term 'exponential function' mean?

Back

An exponential function is a mathematical function of the form y = a(b^x), where a is a constant, b is the base, and x is the exponent.