Determine the intervals on which the function is concave up or down and find the points of inflection. y = 7x + In(x) (x> 0) Provide intervals in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Ø if the interval is empty. Provide points of inflection as a comma-separated list of (x, y) ordered pairs. If the function does not have any inflection points, enter DNE. Use exact values for all responses. concave up: concave down: (x, y) =

Give the domain of the following function in interval notation.   t(x) =             1                        64 + x^2

Identify where the function f(x) = x³ – 4x? + 8x + 1 is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (*,*). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parentheses "(",")", "[", or "]" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: f is concave down on: Use the graphing utility to graph f. f(x) = 20 y + 10 -20 -10 10 20 -10 powered by Sousep -20

Enter the appropriate number in each blank. - 1, if x -2 5x - f(x) : || X – 9, а. f(—4) — b. f(-3) = c. f(-2) = с. d. f(0) = Submit