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Question 19 Extra Credit A friend looks at the graph of $y = 2x^2$ and observes that if you start at the origin, the graph increases whether you go to the right or the left. He concludes that the graph is increasing everywhere. Using derivatives, explain why this reasoning is incorrect. Be sure to determine where the function is increasing and explain what your friend did wrong.

          Question 19
Extra Credit
A friend looks at the graph of $y = 2x^2$ and observes that if you start at the origin, the graph increases whether you go to the right or the left.
He concludes that the graph is increasing everywhere. Using derivatives, explain why this reasoning is incorrect. Be sure to determine
where the function is increasing and explain what your friend did wrong.

Question 19
Extra Credit
A friend looks at the graph of y = 2x^2 and observes that if you start at the origin, the graph increases whether you go to the right or the left.
He concludes that the graph is increasing everywhere. Using derivatives, explain why this reasoning is incorrect. Be sure to determine
where the function is increasing and explain what your friend did wrong.

Added by Brittany P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Natalie Anderson

02/17/2020

Step 1

This means that as x increases, y also increases, and as x decreases, y also decreases. Show more…

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Extra Credit: A friend looks at the graph of y = 2x and observes that if you start at the origin, the graph increases whether you go to the right or the left. Identify where the function is increasing and explain what your friend did wrong.