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Modeling Data with Functions Homework -- Homework: From Data Points to Functions

Module by: Kenny M. Felder. E-mail the author

Summary: This module provides practice problems related to extrapolating a function from a set of data points.

Exercise 1

Sketch a vertical parabola through the three points in each graph.

Figure 1
(a) (b) (c) (d)
Three scattered points on a Cartesian coordinate system for plotting a parabola.Three scattered points on a Cartesian coordinate system for plotting a parabola.Three scattered points on a Cartesian coordinate system for plotting a parabola.Three scattered points on a Cartesian coordinate system for plotting a parabola.

Exercise 2

A certain function contains the points (–3,5) and (5,2).

  • a. Find the function.
  • b. Verify that it contains both points.
  • c. Sketch it on the graph paper, noting the two points on it.

Exercise 3

A certain function contains the points (–3,5), (5,2), and (1,–4).

  • a. Find the function.
  • b. Verify that it contains all three points.
  • c. Sketch it on the graph paper, noting the three points on it.

Exercise 4

A certain function contains the points (–3,5), (5,2), (1,–4), and (8,–2).

  • a. Find the function.
  • b. Verify that it contains the point (8,–2).
  • c. Sketch it on the graph paper (by graphing it on your calculator and then copying the sketch onto the graph paper). Note the four points on it.

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