Consider the function f(x) = 5(x − 3). For this function there are two important open intervals: ( − ∞, A) and (A, ∞) where A is a critical number. Find A For each of the following intervals, tell whether f(x) is increasing or decreasing. (-∞, A): [Select an answer (A, ∞): Select an answer Select an answer Question Increasing Decreasing

Given the function f(x) = 3x3 + 27x? + 45x, determine all intervals on which f is both increasing and concave down.

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

What is the range of the function f(x) = -6sin(Tx – 5) + 2? Select one: a. [–6, 6] b. [-6,0] c. None of these d. [0, 8] e. [-4, 8]