Please be specific when answering etc using greater than less than fraction etc.. all reals or empty sets and answers using fractions/ greater than less than written out

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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Please be specific when answering etc using greater than less than fraction etc.. all reals or empty sets and answers using fractions/ greater than less than written out
# Finding Domain and Range from the Graph of an Exponential Function

**Description:**

The graph provided shows an exponential function. The horizontal asymptote is represented as a dashed line. Your task is to find the domain and the range of this function.

### Graph Details:

- **Axes:**
  - The x-axis and y-axis are labeled with integer values ranging from -8 to 8.
  
- **Function Behavior:**
  - The curve starts from the left side, staying close to the x-axis (horizontal asymptote) as it moves right.
  - As x increases, the graph slopes downward quickly after passing x = 0, moving toward negative infinity on the y-axis.
  - The horizontal asymptote is located at y = 2, indicating that the function approaches but never reaches this value.

### Instructions:

- **Domain:** The set of all possible x-values. (In this case, x can be any real number, since there are no restrictions visible on the function.)

- **Range:** The set of all possible y-values. (As the graph approaches but never reaches y = 2 and extends downward infinitely, the range is y < 2.)

**Write your answers as inequalities**, using x or y as appropriate. Alternatively, you may select "Empty set" or "All reals" as the answer.

### Answer Input:

- (a) Domain: [This will generally be "all real numbers" unless specific restrictions are provided.]
  
- (b) Range: [Given the behavior of the function, specify the y-values here.]
Transcribed Image Text:# Finding Domain and Range from the Graph of an Exponential Function **Description:** The graph provided shows an exponential function. The horizontal asymptote is represented as a dashed line. Your task is to find the domain and the range of this function. ### Graph Details: - **Axes:** - The x-axis and y-axis are labeled with integer values ranging from -8 to 8. - **Function Behavior:** - The curve starts from the left side, staying close to the x-axis (horizontal asymptote) as it moves right. - As x increases, the graph slopes downward quickly after passing x = 0, moving toward negative infinity on the y-axis. - The horizontal asymptote is located at y = 2, indicating that the function approaches but never reaches this value. ### Instructions: - **Domain:** The set of all possible x-values. (In this case, x can be any real number, since there are no restrictions visible on the function.) - **Range:** The set of all possible y-values. (As the graph approaches but never reaches y = 2 and extends downward infinitely, the range is y < 2.) **Write your answers as inequalities**, using x or y as appropriate. Alternatively, you may select "Empty set" or "All reals" as the answer. ### Answer Input: - (a) Domain: [This will generally be "all real numbers" unless specific restrictions are provided.] - (b) Range: [Given the behavior of the function, specify the y-values here.]
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