Question

find the point(s) on the graph below in which the tangent line to the point(s) have a positive slope. choose all that apply

Explanation:

Step1: Recall slope of tangent concept

The slope of the tangent line to a curve at a point represents the rate of change of the function at that point. A positive - slope means the function is increasing at that point.

Step2: Analyze graph segments

Looking at the graph, from left - to - right, the function is increasing (has a positive slope of the tangent line) on the interval from the left - hand side of the graph up to the vertex (point C). After point C, the function is decreasing (has a negative slope of the tangent line).
Points A and B lie on the increasing part of the graph. At point C, the slope of the tangent line is 0. Points D and E lie on the decreasing part of the graph.

Answer:

A. A
B. B