7 Dec 2021
Problem 37
Page 52
Section 1.4: Graphing Calculators and Computers
Chapter 1: Functions and Models
Textbook ExpertVerified Tutor
7 Dec 2021
Given information
The figure shows the graphs of and as displayed by a graphing calculator. The first graph is inaccurate. Explain why two graphs appear identical.
Hint: the’s graphing window is pixels wide. What specific points does the calculator plot?
Step-by-step explanation
Step 1.
Generally the graphing window has pixels wide and calculator place at in centre of the first pixel and the value in centre of the last pixel, it is pixel.
So that, the total interval is equally divided by pixels, that is equal sub-intervals.
Hence, each interval length is say.
Suppose that are the subintervals, with equal length , and be the centres of the each subintervals respectively. Here, , and .
For :