Exponential Functions Test Review

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.

Front

How do you model exponential decay?

Back

Exponential decay can be modeled using the function f(x) = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is f(x) = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is time.

Tags

CCSS.HSF-IF.C.8B

Front

Convert the expression √(7x) to rational exponent form.

Back

(7x)^(1/2)

Front

What is the value of 160,000 after 20 years with a 5% annual increase?

Back

$424,527.63

Tags

CCSS.HSF.BF.A.2

Front

Write (3x)³ in radical form.

Back

∜(3x)³ = (3x)^(3/4)

Front

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

Back

The decay rate is the percentage by which a quantity decreases over a specific period of time.

Tags

CCSS.HSF-IF.C.8B

Front

How do you simplify the expression 2^4?

Back

2^4 = 16.

Tags

CCSS.6.EE.A.1

Front

What is the difference between exponential growth and decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Tags

CCSS.HSF-IF.C.8B

Front

If a population of bacteria decreases by 14.9% per minute, what is the decay factor?

Back

The decay factor is 1 - 0.149 = 0.851.

Tags

CCSS.HSF-LE.A.1C