To match the terms with the correct definitions, let’s go over each term's meaning:

1. Exponential Growth: This occurs when the rate of change of a quantity is proportional to its current value, resulting in the quantity growing at an increasing rate. An example would be population growth with a constant birth rate.

2. Exponential Growth Function: A mathematical expression used to model exponential growth, typically written as $f(x) = a \cdot b^x$, where $a$ is the initial amount and $b$ is the growth factor with $b > 1$.

3. Exponential Decay: The opposite of exponential growth, where a quantity decreases at a rate proportional to its current value, leading to a rapid decline. An example is radioactive decay.

4. Exponential Decay Function: A mathematical expression modeling exponential decay, usually written as $f(x) = a \cdot b^x$ where $0 < b < 1$, causing the quantity to decrease over time.

5. Compound Interest: A type of interest in which the interest earned over time is added to the principal, leading to exponential growth. It’s calculated using the formula $A = P(1 + \frac{r}{n})^{nt}$, where $P$ is the principal, $r$ the interest rate, $n$ the number of times interest is compounded per period, and $t$ is time.

6. Geometric Sequence: A sequence of numbers where each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

7. Common Ratio: The fixed number that each term in a geometric sequence is multiplied by to get the next term. It is constant throughout the sequence.

With these definitions, you should be able to match each term to its definition. If you'd like further clarification on any of these terms or need additional help, let me know!

Would you like further details on any of the terms? Here are some related questions to deepen understanding:

1. What is the difference between exponential growth and linear growth?
2. How does the exponential growth function differ from the exponential decay function in terms of real-life applications?
3. Can compound interest be considered a type of exponential growth?
4. What role does the common ratio play in determining the behavior of a geometric sequence?
5. How do you determine if a sequence is arithmetic or geometric?

Tip: Understanding the exponential growth function can help in finance and population dynamics, as it models situations where growth compounds over time.