a. Graph f(x) =11e-0.3x for - 5sxs 15. b. Find f(10) and f(- 10). C. Does this function represent growth or decay? a. Use the graphing tool to graph the function. Click to enlarge graph b. f(10) = (Round to three decimal places as needed.) |( – 10) = (Round to three decimal places as needed.) c. Does this function represent growth or decay? O growth O decay
a. Graph f(x) =11e-0.3x for - 5sxs 15. b. Find f(10) and f(- 10). C. Does this function represent growth or decay? a. Use the graphing tool to graph the function. Click to enlarge graph b. f(10) = (Round to three decimal places as needed.) |( – 10) = (Round to three decimal places as needed.) c. Does this function represent growth or decay? O growth O decay
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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![### Exploring Exponential Functions
#### a. Graph the Function
Given the exponential function:
\[ f(x) = 11e^{-0.3x} \quad \text{for} \quad -5 \leq x \leq 15 \]
Use the graphing tool to visualize this exponential function.
#### Graphical Representation
A grid is provided to plot points and observe the decay of the function over the set domain for \(x\).
#### b. Evaluating the Function at Specific Points
- **Calculate \(f(10)\):**
- Enter the value you find in the designated box.
- Round to three decimal places as needed.
- **Calculate \(f(-10)\):**
- Enter the value you find in the designated box.
- Round to three decimal places as needed.
#### c. Identify the Behavior of the Function
Determine whether the function \(f(x) = 11e^{-0.3x}\) represents growth or decay:
- Select "growth" if the function increases as \(x\) increases.
- Select "decay" if the function decreases as \(x\) increases.
Exploration of these values will offer insights into the nature of exponential decay as modeled by this function and visually represent these changes on the graph. The exponential term \(-0.3x\) indicates whether the function models a growth or decay pattern.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a490277-4e03-4402-a8b5-4d152999c41b%2Fba80bc07-b75b-46fb-9803-4c7b16963e36%2Fmoef8zg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Exploring Exponential Functions
#### a. Graph the Function
Given the exponential function:
\[ f(x) = 11e^{-0.3x} \quad \text{for} \quad -5 \leq x \leq 15 \]
Use the graphing tool to visualize this exponential function.
#### Graphical Representation
A grid is provided to plot points and observe the decay of the function over the set domain for \(x\).
#### b. Evaluating the Function at Specific Points
- **Calculate \(f(10)\):**
- Enter the value you find in the designated box.
- Round to three decimal places as needed.
- **Calculate \(f(-10)\):**
- Enter the value you find in the designated box.
- Round to three decimal places as needed.
#### c. Identify the Behavior of the Function
Determine whether the function \(f(x) = 11e^{-0.3x}\) represents growth or decay:
- Select "growth" if the function increases as \(x\) increases.
- Select "decay" if the function decreases as \(x\) increases.
Exploration of these values will offer insights into the nature of exponential decay as modeled by this function and visually represent these changes on the graph. The exponential term \(-0.3x\) indicates whether the function models a growth or decay pattern.
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