Two functions are presented below with their corresponding graphs. Complete each sentence describing the graphs. Graph A is -12-10 -8 -4 O -4 [Select] 12 Graph B is 4 -8 -10 -12 [Select] 4 A f(x) = 100(0.5)* - 4 [Select] 8 V 10 12 12 -10 -8 12 -40 -4 -8 -10 -12 4 8 B. f(x) = 2(2) +8 function with a y-intercept of function with a y-intercept of 10 12

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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Graph A is (an increasing) (an decreasing) function with a y-intercept of (25) (46) (96) (100) (-4) Graph B is (an increasing) (an decreasing) function with a y-intercept of (8) (4) (10) (12)
**Educational Content: Understanding Function Graphs**

The following image presents two functions with their corresponding graphs. Complete each sentence by examining and describing the graphs provided.

### Graph Details

#### Graph A
- **Function**: \( f(x) = 100(0.5)^x - 4 \)
- **Description**: This graph represents an exponential decay function with a horizontal asymptote approaching \( y = -4 \). The curve starts high on the y-axis and decreases rapidly as \( x \) increases.

#### Graph B
- **Function**: \( f(x) = 2(2)^x + 8 \)
- **Description**: This graph illustrates an exponential growth function with a horizontal asymptote above the x-axis. The curve starts low on the y-axis and increases rapidly as \( x \) increases.

### Interactive Section
Complete the following sentences by selecting the appropriate options:

- **Graph A** is a [Select] function with a y-intercept of [Select].
- **Graph B** is a [Select] function with a y-intercept of [Select].

This exercise aids in visual comprehension and description of exponential functions and their key characteristics.
Transcribed Image Text:**Educational Content: Understanding Function Graphs** The following image presents two functions with their corresponding graphs. Complete each sentence by examining and describing the graphs provided. ### Graph Details #### Graph A - **Function**: \( f(x) = 100(0.5)^x - 4 \) - **Description**: This graph represents an exponential decay function with a horizontal asymptote approaching \( y = -4 \). The curve starts high on the y-axis and decreases rapidly as \( x \) increases. #### Graph B - **Function**: \( f(x) = 2(2)^x + 8 \) - **Description**: This graph illustrates an exponential growth function with a horizontal asymptote above the x-axis. The curve starts low on the y-axis and increases rapidly as \( x \) increases. ### Interactive Section Complete the following sentences by selecting the appropriate options: - **Graph A** is a [Select] function with a y-intercept of [Select]. - **Graph B** is a [Select] function with a y-intercept of [Select]. This exercise aids in visual comprehension and description of exponential functions and their key characteristics.
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