Q. 3TB
Question
Associated slope functions: For each of the following two function graphs, sketch a careful, labeled graph of its associated slope function.
Step-by-Step Solution
Verified Answer
The graph of slope is
Slope of second graph
1Step 1: Given Information
For each of the following two function graphs, sketch a careful, labeled graph of its associated slope function.
2Part 1: Step 1: Graph the slope
The graph reaches maximum at x=0. So the graph crosses x intercept in derivative graph .
When f(x) is increasing , then the slope is positive.
when f(x) is decreasing , then the slope is negative
3Part(2) Step 1: Slope of the graph
Second graph reaches maximum at x=1. Slope is 0 at x=1
It reaches minimum at x=1, slope =0 at x=1
When graph goes down , slope is negative
when graph does up then slope is positive
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