Analyzing Function Graphs

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Objective

I can make real world inferences by analyzing a function's graph.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Define x-intercept and y-intercept. Explain how they can be useful in understanding a real-world scenario represented by a graph.

2

Describe what it means for a function to be increasing or decreasing. How is this visually represented on a graph, and what real-world information can you infer from these trends?

Part 3 of 3

Exit ticket

Quick comprehension check

Imagine a graph represents the profit of a company over a year. How would identifying the x-intercepts (if any) of this graph be useful for understanding the company's financial performance? Suppose a graph represents the speed of a car over a period of time. Without seeing the graph, explain how you would determine when the car was accelerating (speeding up) based on the concepts of increasing and decreasing functions. Think of a graph that represents the height of a ball thrown into the air. How would you identify the relative maximum on this graph, and what would that point represent in terms of the ball's trajectory?

Sample answer included in the free materials

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  • Teacher Guide

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