The graph shows a function with a visible inflection point where the tangent line has been drawn horizontally. A horizontal tangent implies that the slope at this point is zero. Therefore, the slope of the tangent at the indicated point is approximately:

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Would you like a deeper explanation on how to analyze slopes of tangents in graphs?

Here are five follow-up questions that build on this topic:

1. What does it mean for a function to have a horizontal tangent?
2. How can you estimate the slope of a tangent line at different points on a curve?
3. How do inflection points affect the slope of a tangent?
4. How would you find the slope of a tangent line at a point analytically if given the function's equation?
5. How can you use calculus to determine where a function’s tangent slope is zero?

Tip: A horizontal tangent line often indicates a local maximum, minimum, or inflection point on a curve.