Draw the image of function y = 1 / 2x + 1 in the given rectangular coordinate system (fill in the following table first, and then draw the line of points) x=-3 y=?…… x=3 y=?

Draw the image of function y = 1 / 2x + 1 in the given rectangular coordinate system (fill in the following table first, and then draw the line of points) x=-3 y=?…… x=3 y=?

X = - 3, y = 1 / (2 * (- 3)) + 1 = 1-1 / 6 = 5 / 6x = 3, y = 1 / (2 * 3) + 1 = 1 / 6 + 1 = 7 / 6 point description: a (- 3,5 / 6), B (3,7 / 6) because it is a linear function, the image is a straight line, connect and extend a and B, the resulting straight line is the image of the function!

The function f (x) = | x + 1 | + ax (a ∈ R) is known. (I) try to give a value of a and draw the image of the function; (II) if the function f (x) has monotonicity on R, find the value range of A

(I) when a = 0, the function f (x) = | x + 1 | as shown in the figure (4 points) (II) simplify f (x) = (a + 1) x + 1, X ≥ − 1 (a − 1) x − 1, X ＜− 1, when x ＞ - 1, f (x) = (a + 1) x + 1 is an increasing function, and f (x) ≥ f (- 1) = - A; when x ＜ - 1, f (x) = (A-1) X-1 is an increasing function