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Interpreting graphs of linear and nonlinear functions
Interpreting-graphs-of-linear-and-nonlinear-functions 256
Description
Exercise Name: Interpreting graphs of linear and nonlinear functions
Math Missions: 8th grade (U.S.) Math Mission, Mathematics I Math Mission, Algebra I Math Mission, Mathematics II Math Mission
Types of Problems: 2

The Interpreting graphs of linear and nonlinear functions exercise appears under the 8th grade (U.S.) Math Mission, Mathematics I Math Mission, Algebra I Math Mission and Mathematics II Math Mission. This exercise practices interpreting graphs in various forms.

Types of Problems

There are two types of problems in this exercise:

  1. Find the heart rate from the graph: This problem provides a printout that looks like it is from an EKG. The user is asked to use the graph to determine the heart rate of the patient.
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    Find the heart rate from the graph

  2. Find information from the graph: This problem provides a graph and has several different questions regarding the graph at the bottom of the page. The user is expected to answer all the questions correctly before submitting.
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    Find information from the graph

Strategies

Knowing the major questions that can arise would be helpful. The majority of them are listed here.

  1. The slope of a line on a part of a graph is rise over run.
  2. The maximum or minimum value of a function is the y-coordinate of a maximum or minimum. Where that extrema occurs is the x-coordinate.
  3. Increasing means the graph goes up from left to right, and decreases means it goes down.
  4. Intercepts occur where the graph hits either access.
  5. The x-coordinate is always an input and the y-coordinate is always the corresponding output.

Real-life applications

  1. This exercise and understanding of the properties requested are very important in the field of calculus.
  2. Interpretations of functions is the cornerstone to understanding models from any field.

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