Question

Fill out the table as we did in class for the following:

a) y= 3x + 1
b) y= 2x - 5
c) y = - 2x - 2


All between the values of - 3< x < 3

Answer 1

Explanation:

Construct a 2-columned table for each function. Arbitrarily choose x values to go into the first column, values between -3 and +3:

Example, for y = 3x + 1:

x y = 3x + 1 (x, y)

--------------------------------

-2 3(-2) + 1 (-2, -5)

0 3(0) + 1 (0, 1)

1

2

x is the "independent variable." You choose the values, subject to the requirement that -3 < x < +3. The function will return the y values, which are dependent upon the inputs x. This will give you a good number (e. g., 5) points to plot. Draw a line through these points to obtain a graph of

y = 3x + 1. And so on. You need to go through this procedure once for each of the 3 given functions.