Question

Associated slope functions: For each of the following two function graphs, sketch a careful, labeled graph of its associated slope function.

Short answer

The graph of slope is

Slope of second graph

Step-by-step solution

Given Information 

For each of the following two function graphs, sketch a careful, labeled graph of its associated slope function.

Part 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

Part(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