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The graph shows the height: meters of an eagle tenms Ol its time. seconds in flight:1 1Time (sconds)Use the graph explain why the eagle height function of its time ...

Question

The graph shows the height: meters of an eagle tenms Ol its time. seconds in flight:1 1Time (sconds)Use the graph explain why the eagle height function of its time in flight:Find f(15). Describe what this means in practical terns What is reasonable estimate of the eagle $ maximum height? For what values of x is f(x) 20? Describe what this means practical ternsUse the graph of the function write description of the eagle $ flight:

The graph shows the height: meters of an eagle tenms Ol its time. seconds in flight: 1 1 Time (sconds) Use the graph explain why the eagle height function of its time in flight: Find f(15). Describe what this means in practical terns What is reasonable estimate of the eagle $ maximum height? For what values of x is f(x) 20? Describe what this means practical terns Use the graph of the function write description of the eagle $ flight:



Answers

The flight of an eagle is observed for 30 seconds. The graph shows the eagle's height, in meters, during this period of time. Use the graph to solve. (GRAPH CAN'T COPY). (Be sure to refer to the graph at the bottom of the previous page.) During the first three seconds of observation, the eagle's flight is graphed as a horizontal line. Write the equation of the line. What does this mean about the eagle's flight pattern during this time?

Sure. So we noticed that the beginning of this graph that these first three seconds are a horizontal line. So from time 0 to 3, we have a horizontal line. And so, no matter what the X value is in this period, are why value is always 45. Which means we can write the equation of this line as why equals 45. And what that means is that the eagle is flying and level. So if they start at point A, they're at 45 ft. They fly for three seconds to point B and they fly in a straight line. They don't go up and they don't go down. They just fly straight across fish.

This question asked us about the Y intercept of the graph, and we know that the Y intercept occurs when X is equal to zero. In other words, it's when the graph crosses the X axis. Excuse me crosses the y axis. And so we see on this graph that the why intercept occurs at zero might have to estimate here halfway between 40 and 50 is about 45. So our Y intercept is 0. 45 which means that at the start of this graph, so at zero at the time zero The eagle is 45 feet in there in other words, that when this eagle is starting to be monitored, it is already flying. It is in the sky, 45 ft high.

When looking at our graph again of the eagle and its flight. Um, over 30 seconds. Um, now we're looking at the x intercepts and were asked Teoh right, five x intercepts is integers. So we're not going to write the the, um, the coordinate points. We're just gonna right the time, basically, because the X axis is is the time in seconds that the eagle was observed, and then we'll talk about what that means. So when you look at the graph, um, there's a There's a flat line at the base earth on the X axis and you'll see that, um, at time, 12 seconds. 13 14 15 and 16. The graph hum is a straight line on while not a straight line, but is a flat line, um, on the X taxes. And so those are our X intercepts because the value at that point, um for why is zero. And so, if that is the case hum with e, why access being labeled the height off the eagle? Um, if it's at zero, that would mean that the eagle is on the ground for these five seconds. Um, when the line, it's flat. Between seconds 12 and 16

When looking at our graph of the eagle again. If we identify the Y intercept or the point where the graph crosses the Y or is at why we're we can also say where X is zero. Um, that point is zero 45 or 45 meters because the Y axis is the Eagles height in meters. So what this measurement means is that at the beginning of the observation, the 32nd observation the Eagles height waas 45 meters at the start of the observation.


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