Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
The correct equation is f(×)= the correct equation is not y=
![### Find an equation for the graph sketched below
The image illustrates a graph with the following characteristics:
- The x-axis ranges from -5 to 5.
- The y-axis ranges from -8 to 8.
- The graph appears to be an exponential function.
**Detailed Analysis:**
- As x approaches negative values, the function approaches 0 but never quite reaches it.
- As x increases, the value of the function f(x) increases rapidly.
- There's an exponential growth pattern, which commonly suggests a function of the type \( f(x) = a \cdot b^x \).
Based on the graph's behavior, where it appears to rise exponentially, a probable general form for the function might be:
\[ f(x) = e^x \]
This can be written more generally as:
\[ f(x) = a \cdot b^x \]
To confirm the exact equation, one would typically need to verify specific points on the graph and solve for the constants \(a\) and \(b\) accordingly. Given the exponential nature and the general appearance, this fits the description well as an exponential growth function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a66d878-2f58-4b17-a7a9-b61e2abefcf5%2Feabbf4da-85df-4ec5-a678-1919d67947dc%2Fvjik37_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Find an equation for the graph sketched below
The image illustrates a graph with the following characteristics:
- The x-axis ranges from -5 to 5.
- The y-axis ranges from -8 to 8.
- The graph appears to be an exponential function.
**Detailed Analysis:**
- As x approaches negative values, the function approaches 0 but never quite reaches it.
- As x increases, the value of the function f(x) increases rapidly.
- There's an exponential growth pattern, which commonly suggests a function of the type \( f(x) = a \cdot b^x \).
Based on the graph's behavior, where it appears to rise exponentially, a probable general form for the function might be:
\[ f(x) = e^x \]
This can be written more generally as:
\[ f(x) = a \cdot b^x \]
To confirm the exact equation, one would typically need to verify specific points on the graph and solve for the constants \(a\) and \(b\) accordingly. Given the exponential nature and the general appearance, this fits the description well as an exponential growth function.
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