Consider f(x) = x + cos(x) on the interval [0, 2x]. (a) Y - Intercept : The y-intercept of f(x) is: 1 E (b) Increasing / Decreasing: f is increasing for r E NONE E f is decreasing for c E (-INF, pi/2)U(pi/2, INF) (c) Critical Point Classification: f is has local maximums at c = NONE E f is has local minimums at ~ = NONE f is has critical points that are neither local mins nor maxes at c = NONE (d) Concavity: f is concave up for I E NONE E f is concave down for I E (-INF, INF) E (e) Inflection Points: f is has inflection points at c = (pi/2, pi/2) Note: the answers to the above questions can be a value, a list of values, an interval, a union of intervals, or "NONE" if no values exist