(1 point) Consider the function f(x) = 8+7xx2 1. f is increasing on the intervals 555 2. f is decreasing on the intervals iii 3. The relative maxima off occur at x = 555 4. The relative minima off occur at x = 555 In the last two type the word "none" if there is not a relative maximum or minimum. (1 point) Consider the function: f(x) =x3 +6x2 11 a) Find the critical numbers of f . EEE (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: ::: f is decreasing on: 555 c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at x = ::: (Separate multiple answers by commas.) Relative minima occur at x = ::: (Separate multiple answers by commas.) (1 point) Consider the function f(x) = x3 15x2 + 27): + 13 1 . f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima off occur at x = 4. The relative minima off occur at x = Notes: In the last two, your answer should be a comma separated list of x values or the word "none". (1 point) Consider the function 1. f is increasing on the intervals 555 2. f is decreasing on the intervals iii 3. The relative maxima off occur at x = 555 4. The relative minima off occur at x = 555 (Round to four decimal places as needed) Notes: Use INF for infinity or INF for negative infinity. In the last two, your answer should be a comma separated list of x values or the word "none". (1 point) Consider the function 1 (X) = f x2 10): + 34 a) Give the domain off (in interval notation) 55! b) Find the critical numbers of f . 5!! (Separate multiple answers by commas.) c) Determine the intervals on which f is increasing and decreasing. f is increasing on: 5!! f is decreasing on: 555 d) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. If the function does not have a relative max or min, type none Relative maxima occur at x = 555 (Separate multiple answers by commas.) Relative minima occur at x = iii (Separate multiple answers by commas.) (1 point) Consider the function 1. f is increasing on the intervals 55! 2. f is decreasing on the intervals 5!! 3. The relative maxima off occur at x = 5!! 4. The relative minima off occur at x = 555 Notes: In the last two, your answer should be a comma separated list of x values or the word "none". (1 point) Consider the function f(x) = 6x2 e"" 1. f is increasing on the intervals 5!! 2. f is decreasing on the intervals 5!! 3. The relative maxima off occur at x = 5!! 4. The relative minima off occur at x = 5!! Notes: In the last two, your answer should be a comma separated list of x values or the word "none"