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# Graph interpretation word problem: temperature

When a function models a real-world context, we can learn a lot about the content from the function's graph. In this video, we consider a graph that models temperature over time.

## Want to join the conversation?

• Does temperature actually vary like in the example, something like a sin wave?
• No, temperature can vary as weirdly as you want but it can often gradually fluctuate, sort of like a sine wave.
• Man, there is barely any questions but I have a problem. How does the y-intercept's statement is -3celuis at the beginning of the day?
• The y-intercept represents a point when the domain (x) is 0. So when no time, which the x value represents, has passed, that means that the time passed is 0, and therefore x is 0. Therefore, the y-intercept is representing that when time is 0, the temperature is -3 degrees Celsius.
• ; Why is it only a relative maximum, not a global maximum, as I don't see any higher point ?
• Technically, because in the problem the temperature doesn't just stop existing after 24 hours, the function stretches on beyond what we can see. So we can't really conclude that that highest point is the highest point for the whole graph, because we don't know the whole graph and there could easily be a higher relative maximum on a hotter day.
• What is the difference between relative and global max point?
• A relative max point is a point higher than it's surroundings but is not the highest point. A global max point is the highest point anywhere on the graph. Hope this helps 😊