The graph of f(x) passes through the point (0, 6). The slope of f at any point P is 5 times the y-coordinate of P. Find f(1). f(1) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The graph of \( f(x) \) passes through the point \( (0, 6) \). The slope of \( f \) at any point \( P \) is 5 times the \( y \)-coordinate of \( P \). Find \( f(1) \).

\( f(1) = \) [Input Box]

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Transcribed Image Text:The graph of \( f(x) \) passes through the point \( (0, 6) \). The slope of \( f \) at any point \( P \) is 5 times the \( y \)-coordinate of \( P \). Find \( f(1) \). \( f(1) = \) [Input Box] Options are provided to "Preview My Answers," "Submit Answers," and "Show me another" to interact with the question.
Expert Solution
Step 1

Given: 

 Graph passes through point ( 0 , 6)

   Slope = 5*y1 = 5(6)  = 30

 

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