Let f be a function defined as follows: f(x) = x x Give the exact answer as a decimal number. C 1 5 5 if x # 5, if x = 5. Determine the value of c so that the function f is continuous on the interval (0, ∞).

Use the graph of f to find the interval(s) on which f is increasing, Where applicable, use interval notation.

Determine the intervals of concavity for the function f(x) = xex .

Consider the function. f(x) = ¹ + 10 Determine the intervals on which f is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (, ). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")", "[","]" depending whether the interval is open or closed. Enter if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such intervals exists.) f is increasing on: f is decreasing on: f is concave up on: fis concave down on: Identify the asymptotes of f. (Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such asymptote exists.) vertical asymptote(s): horizontal asymptote(s): Use the graphing utility to graph f. f(x) = X desmos