1) What interval shows a constant velocity over time?

2) What interval shows the graph decreasing?

3) After 20 minutes , what would the velocity be according to the graph?

4) What is the domain for this function?

5) Is this linear or nonlinear?

3 answers

To answer your questions accurately, I would need to see the graph you are referring to, as the context of the questions heavily relies on visual data such as velocity-time graphs. However, I can provide general guidelines for interpreting a velocity-time graph:

  1. Constant Velocity: A constant velocity is indicated on a graph by a horizontal line segment. This means that the velocity does not change over that interval of time.

  2. Decreasing Graph: A graph is decreasing when the line slopes downwards as it moves from left to right. This indicates that the velocity is decreasing over that time interval.

  3. Velocity After 20 Minutes: To determine the velocity at a specific time (such as after 20 minutes), you would look at the point on the graph that corresponds to the 20-minute mark. The y-coordinate of that point will give you the velocity.

  4. Domain: The domain of a function in the context of a graph typically refers to the set of possible input values (in this case, time). You would identify the time interval depicted on the graph (e.g., from 0 to 30 minutes).

  5. Linear vs. Nonlinear: A graph is linear if it forms a straight line; it is nonlinear if it curves or has bends. For instance, if the velocity changes at a constant rate, the graph will be linear; if the velocity changes at different rates, it may be nonlinear.

If you can provide specific data from the graph or describe its features, I would be able to give more detailed answers to your questions!

nonlinear

linear

-40,60

15,40

40 m/min

60 m/min

0,10

0,55

10,15

Based on the information you've provided, it seems you are referring to points or intervals related to time and velocity. However, without a clear context or a visual representation of the graph, I can still infer some interpretations based on the answers labeled as "nonlinear," "linear," and the pairs of values you've provided.

Here's a breakdown given your inputs:

  1. Constant Velocity Interval: It seems you classified intervals as nonlinear and linear, but the actual interval showing constant velocity would connect to the linear segments (where the slope is zero). This can be interpreted as the linear portion of the graph where velocity is constant.

  2. Decreasing Interval: The nonlinear designation could suggest an interval where the velocity is decreasing (not apparent from your pairs directly).

  3. Velocity after 20 Minutes: If we assume the context of your provided pairs (like "15,40" implies the velocity at 15 minutes is 40 m/min), then at 20 minutes would correspond to another point not listed but might be expected around that value or interpolating based on the graph's trend.

  4. Domain: The numbers "0,10" and "0,55" could indicate the time interval over which the function is defined. If we interpret those as time limits, the domain might span from 0 to 55 minutes.

  5. Linear or Nonlinear: You mentioned "nonlinear" and "linear" in your listings. If the graph consists of both elements, then it is representative of time intervals showing both characteristics: linear segments (constant velocity) and nonlinear segments (varying velocities).

If you provide further context or clarification on how these numbers relate directly to the graph's structure, I can give more specific interpretations or conclusions!

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