The function \( y = 100 \times 1.1^x \) is an **exponential function**. 

In general, an exponential function has the form:

\[
y = a \times b^x
\]

Where:
- \( a \) is the initial value or starting point (in this case, \( 100 \)),
- \( b \) is the base of the exponential, representing the growth or decay factor (in this case, \( 1.1 \)),
- \( x \) is the exponent, which typically represents time or another independent variable.

Since \( b = 1.1 \) is greater than 1, this represents **exponential growth**. The function describes a situation where the value of \( y \) increases by 10% (since \( 1.1 = 1 + 0.1 \)) for every unit increase in \( x \).

Would you like more details or further clarification?

Here are some related questions to explore:
1. What is the significance of the base \( 1.1 \) in the function?
2. How does the graph of an exponential function behave as \( x \) increases or decreases?
3. How can we determine the growth rate from an exponential function?
4. What happens to the function if the base is less than 1?
5. How do you solve for \( x \) when \( y \) is known in an exponential equation?

**Tip:** In an exponential function, the base \( b \) determines if the function grows (\( b > 1 \)) or decays (\( 0 < b < 1 \)).

What is the type of function y=100*1.1^x?

Understand the exponential function y = 100 * 1.1^x, where the base 1.1 represents a 10% growth factor. Learn how to identify exponential growth and the key components of the function, suitable for high school students in Grades 9-12.

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