**How Will This Worksheet on "Domain and Range of Exponential Functions from Equation" Benefit Your Student's Learning?**

- Helps students understand how exponential functions work with different values.
- Teaches how to analyze equations to determine the domain and range.
- Knowing the domain and range aids in solving problems involving exponential functions.
- Enhances math skills by requiring thoughtful consideration of possible values and outcomes.
- Encourages students to think critically about mathematical rules and their applications.

**How to Domain and Range of Exponential Functions from an Equation?**

`1`. Determine the base \( b \) of the exponential function \( y = a \cdot b^x \).

`2`. The domain includes all real numbers unless specified otherwise by restrictions (e.g., \( x \in \mathbb{R} \)).

`3`. For \( y = a \cdot b^x \), the range depends on value of \( a \):

- If \( a > 0 \), \( y > 0 \) (positive range).
- If \( a < 0 \), \( y < 0 \) (negative range).