Interpreting graphs of linear and nonlinear functions

The  exercise appears under the 8th Grade 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 student is asked to use the graph to determine the heart rate of the patient.Igolanf1.png
 * 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 student is expected to answer all the questions correctly before submitting.Igolanf2.png

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 calculus.
 * 2) Interpretations of functions is the cornerstone to understanding models from any field.