1. Look at the graph below. Use that graph to answer the following questions. # a. b. There are two points (x, y) given in the picture. What are they? Now that you have your two points, follow your notes and come up with an equation that matches this graph. Show all your work!
1. Look at the graph below. Use that graph to answer the following questions. # a. b. There are two points (x, y) given in the picture. What are they? Now that you have your two points, follow your notes and come up with an equation that matches this graph. Show all your work!
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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![**What are the Connections?**
**Directions:** Today, you will focus on writing equations based on a graph or some given points. This should help deepen your understanding of exponential functions. Use the following guide to help you formulate your thinking.
**Part I. Graph to Equation.**
1. **Look at the graph below. Use that graph to answer the following questions.**
![Graph showing an exponential curve passing through points on a grid.]()
a. There are two points (x, y) given in the picture. What are they?
b. Now that you have your two points, follow your notes and come up with an equation that matches this graph. Show all your work!
2. **Look at the graph below. Use that graph to answer the following questions.**
![Graph showing an exponential decay curve passing through points on a grid.]()
a. There are two points (x, y) given in the picture. What are they?
b. Now that you have your two points, follow your notes and come up with an equation that matches this graph. Show all your work!
3. **Look at the graph below. Use that graph to answer the following questions.**
![Graph showing another exponential growth curve passing through points on a grid.]()
a. There are two points (x, y) given in the picture. What are they?
b. Now that you have your two points, follow your notes and come up with an equation that matches this graph.
**Diagrams:**
- **Graph 1:** This graph shows an exponential curve passing through the point (0, 2). The curve is also hinted to pass near another point close to approximately (1, 5).
- **Graph 2:** This graph depicts an exponential decay curve, starting at approximately (0, 120) and passing through another point close to (-1, 40).
- **Graph 3:** This graph shows an exponential growth curve passing through the points (0, 7) and (3, 56).
Each graph has points plotted on a standard coordinate plane. Your task is to use these points to derive the equation of the exponential function represented by the curve.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00c239b2-49f2-4118-83c1-4fc31b3c935a%2F24bc9dbc-d838-4eea-83f1-144b18dab44e%2Fleeqi2r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**What are the Connections?**
**Directions:** Today, you will focus on writing equations based on a graph or some given points. This should help deepen your understanding of exponential functions. Use the following guide to help you formulate your thinking.
**Part I. Graph to Equation.**
1. **Look at the graph below. Use that graph to answer the following questions.**
![Graph showing an exponential curve passing through points on a grid.]()
a. There are two points (x, y) given in the picture. What are they?
b. Now that you have your two points, follow your notes and come up with an equation that matches this graph. Show all your work!
2. **Look at the graph below. Use that graph to answer the following questions.**
![Graph showing an exponential decay curve passing through points on a grid.]()
a. There are two points (x, y) given in the picture. What are they?
b. Now that you have your two points, follow your notes and come up with an equation that matches this graph. Show all your work!
3. **Look at the graph below. Use that graph to answer the following questions.**
![Graph showing another exponential growth curve passing through points on a grid.]()
a. There are two points (x, y) given in the picture. What are they?
b. Now that you have your two points, follow your notes and come up with an equation that matches this graph.
**Diagrams:**
- **Graph 1:** This graph shows an exponential curve passing through the point (0, 2). The curve is also hinted to pass near another point close to approximately (1, 5).
- **Graph 2:** This graph depicts an exponential decay curve, starting at approximately (0, 120) and passing through another point close to (-1, 40).
- **Graph 3:** This graph shows an exponential growth curve passing through the points (0, 7) and (3, 56).
Each graph has points plotted on a standard coordinate plane. Your task is to use these points to derive the equation of the exponential function represented by the curve.
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