Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

Only two data points are required by a

graphing utility to find the sine function of best fit.

Step-by-Step Solution

Answer

All the constants are required  by a

graphing utility to find the sine function of best fit,  graphing utility cannot find the sine function of best fit by only two data points 

so statement is False

Step 1. Given data

Given statement 

Only two data points are required by a

graphing utility to find the sine function of best fit.

Step 2. Explanation

Consider sine function that fits the arbitrary data is $y=A \sin \left(\omega x-\varphi \right)+B$

Where A is Amplitude of function, B is a vertical shift, $\omega$ is the frequency, and $\frac{\varphi }{\omega }$is the phase shift

 we need to determine all the constants of the function for the graphing utility to find the sine function of best fit to data, it cannot be done by only two data

so the given statement is false