4. Determine if each of the following functions is exponential or not. If so, write the function in the form f(x) = ab* (showing ALL work in doing so) and list the values of a and b. If not, simply write "Not exponential". (a) f(x) = 30V#³ 7- (V2)* (b) f(x) =

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 4:** Determine if each of the following functions is exponential or not. If so, write the function in the form \( f(x) = ab^x \) (showing ALL work in doing so) and list the values of \( a \) and \( b \). If not, simply write “Not exponential”.

**(a)** \( f(x) = 30 \sqrt[3]{x^8} \)

**(b)** \( f(x) = \frac{7 \cdot (\sqrt{2})^{2x}}{3} \)

### Explanation:

- **Graph and Diagram Analysis:**
  - There are no graphs or diagrams associated with this problem. It only involves determining the nature of the functions given in parts (a) and (b).
  
For each function, analyze and determine if the exponential form \( f(x) = ab^x \) is possible, then solve accordingly. If the function cannot be expressed in this form, it is not exponential.
Transcribed Image Text:**Problem 4:** Determine if each of the following functions is exponential or not. If so, write the function in the form \( f(x) = ab^x \) (showing ALL work in doing so) and list the values of \( a \) and \( b \). If not, simply write “Not exponential”. **(a)** \( f(x) = 30 \sqrt[3]{x^8} \) **(b)** \( f(x) = \frac{7 \cdot (\sqrt{2})^{2x}}{3} \) ### Explanation: - **Graph and Diagram Analysis:** - There are no graphs or diagrams associated with this problem. It only involves determining the nature of the functions given in parts (a) and (b). For each function, analyze and determine if the exponential form \( f(x) = ab^x \) is possible, then solve accordingly. If the function cannot be expressed in this form, it is not exponential.
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(a)not exponential

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