Sketch the graph of the function. Indicate where it is increasing and where it is decreasing. Indicate where any relative extrema occur, where asymptotes occur, where the graph is concave up and where is it concave down, where any points of inflection occur, and where any intercepts occur. f(x) = x +

Question

What will be an ideal response?

Answer 1

Increasing on (-?, -] and [, ?); decreasing on [-, 0) and (0, ]
Relative minimum at (, 2), relative maximum at (-, -2)
Vertical asymptote: x = 0; slant asymptote: y = x
Concave down on (-?, 0); concave up on (0, ?)
No points of inflection
No intercepts