G В of Match each equation with a graph above |4(1.14)" a. green (G) |2(0.83)" b. red (R) EV 2(1.14)" c. black (K) -v |2(0.68)" d. orange (O) |2(1.45) e. blue (B)

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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### Graphs of Exponential Functions

In this section, we will practice matching exponential equations to their corresponding graphs. Below, you will find a diagram featuring five distinct graphs, each color-coded and labeled with a letter. Your task is to match each equation with the appropriate graph.

#### Graph Descriptions:

The graphs are color-coded as follows:
- Green (G)
- Red (R)
- Black (K)
- Orange (O)
- Blue (B)

The graphs depict various exponential functions plotted on a coordinate axis. Each graph represents the equation form \( y = a(b)^x \), where different values of \( a \) and \( b \) influence the shape and direction of the graph.

#### Equations to Match with Graphs:

1. \( 4(1.14)^x \)
2. \( 2(0.83)^x \)
3. \( 2(1.14)^x \)
4. \( 2(0.68)^x \)
5. \( 2(1.45)^x \)

#### Matching List:

Match each equation with the correct graph:

- **Green (G)**
- **Red (R)**
- **Black (K)**
- **Orange (O)**
- **Blue (B)**

### Interactive Matching Exercise:

Using the dropdown menus provided, select the correct color-coded graph:
 
- \( 4(1.14)^x \)
   - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B)

- \( 2(0.83)^x \)
   - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B)

- \( 2(1.14)^x \)
   - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B)

- \( 2(0.68)^x \)
   - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B)

- \( 2(1.45)^x \)
   - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B)

### How to Approach:

To match each equation to its corresponding graph, consider the following:
- **Growth vs. Decay:** If \( b > 1
Transcribed Image Text:### Graphs of Exponential Functions In this section, we will practice matching exponential equations to their corresponding graphs. Below, you will find a diagram featuring five distinct graphs, each color-coded and labeled with a letter. Your task is to match each equation with the appropriate graph. #### Graph Descriptions: The graphs are color-coded as follows: - Green (G) - Red (R) - Black (K) - Orange (O) - Blue (B) The graphs depict various exponential functions plotted on a coordinate axis. Each graph represents the equation form \( y = a(b)^x \), where different values of \( a \) and \( b \) influence the shape and direction of the graph. #### Equations to Match with Graphs: 1. \( 4(1.14)^x \) 2. \( 2(0.83)^x \) 3. \( 2(1.14)^x \) 4. \( 2(0.68)^x \) 5. \( 2(1.45)^x \) #### Matching List: Match each equation with the correct graph: - **Green (G)** - **Red (R)** - **Black (K)** - **Orange (O)** - **Blue (B)** ### Interactive Matching Exercise: Using the dropdown menus provided, select the correct color-coded graph: - \( 4(1.14)^x \) - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B) - \( 2(0.83)^x \) - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B) - \( 2(1.14)^x \) - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B) - \( 2(0.68)^x \) - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B) - \( 2(1.45)^x \) - **Options:** Green (G), Red (R), Black (K), Orange (O), Blue (B) ### How to Approach: To match each equation to its corresponding graph, consider the following: - **Growth vs. Decay:** If \( b > 1
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