Solution Found!
Finding f from f Create the graph of a continuous function
Chapter 4, Problem 56E(choose chapter or problem)
QUESTION:
Finding f from f’ Create the graph of a continuous function y = f(x), where
\(f^{\prime}(x)=\left\{\begin{array}{cl} 1 & \text { if } x<0 \\ 0 & \text { if } 0<x<1 \\ -1 & \text { if } x>1 \end{array}\right.\)
Is there more than one possible graph?
Questions & Answers
QUESTION:
Finding f from f’ Create the graph of a continuous function y = f(x), where
\(f^{\prime}(x)=\left\{\begin{array}{cl} 1 & \text { if } x<0 \\ 0 & \text { if } 0<x<1 \\ -1 & \text { if } x>1 \end{array}\right.\)
Is there more than one possible graph?
ANSWER:SOLUTION STEP 1 The graph of the given derivative function is Since this is a graph of derivative,we can understand that it is the slope of the original graph