Polynomial function

Question

The function graphed as follows passes through the points (-1,2), (1,2), and (2,2). Give a formula for a polynomial function that matches this function.

Answer 1

All the points have a y-coordinate of 2. This is a horizontal line with a slope of zero.

 

The equation is:

 

y = 2.

 

Explanation

 

Using (-1,2) and (1,2),

 

Slope of line is: 

 

(2 - 2) /(1 - (-1)) = 0

 

Using (1,2) and (2,2),

 

slope of line is:

 

(2 - 2)/(2 -1) = 0

 

Thus, based on the information given, this is a horizontal line with the general form y = b, where b is the y-intercept or  the common y-coordinate.

 

The equation is y = 2

 

Please note that this answer is based on only the information provided by you.