text: ## Precalculus: Mathematics for Calculus, 7th Edition
  
  Published by Brooks Cole
  
  # Chapter 4 - Section 4.1 - Exponential Functions - 4.1 Exercises: 1
  
  #### Answer
  
  The function $f(x) = 5^x$ is an exponential function with base $5$; $f(-2) = \frac{1}{25}$, $f(0) = 1$, $f(2) = 25$, and $f(6) = 15,625$
  
  #### Work Step by Step
  
  The base is the number being raised to a power, in this case 5. For each function, substitute the value in parenthesis into the x in the equation
  
  After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
explanation: The document is an excerpt from a Precalculus textbook, specifically from Chapter 4, Section 4.1, which covers exponential functions. It includes a question about evaluating the exponential function \( f(x) = 5^x \) at specific points, and it provides the answers for \( f(-2) \), \( f(0) \), \( f(2) \), and \( f(6) \).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ## Precalculus: Mathematics for Calculus, 7th Edition
  
  Published by Brooks Cole
  
  # Chapter 4 - Section 4.1 - Exponential Functions - 4.1 Exercises: 1
  
  #### Answer
  
  The function $f(x) = 5^x$ is an exponential function with base $5$; $f(-2) = \frac{1}{25}$, $f(0) = 1$, $f(2) = 25$, and $f(6) = 15,625$
  
  #### Work Step by Step
  
  The base is the number being raised to a power, in this case 5. For each function, substitute the value in parenthesis into the x in the equation
  
  After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is an excerpt from a Precalculus textbook, specifically from Chapter 4, Section 4.1, which covers exponential functions. It includes a question about evaluating the exponential function \( f(x) = 5^x \) at specific points, and it provides the answers for \( f(-2) \), \( f(0) \), \( f(2) \), and \( f(6) \).
  
  Label: question-and-answer