Sketch a graph of a function f that is continuous on (-∞0,00) and has the following properties. f'(x) > 0 and f''(x) > 0 on (-∞,5); f'(x) > 0 and f''(x) <0 on (5,00) Choose the correct answer below. O A. B. O C. D. S

Determine the end (long run) behavior for the function below: f(x) = x* – 3x + x - 1 Select the correct answer below: as x → ∞, f(x) → ∞; as x -0, f(x) → ∞ as x → 0, f(x) → -o; as x → -o, f(x) → ∞ as x 0, f(x) → -0; as x -», f(x) → o as x → 0, f(x) → o; as x → -∞, f(x) –→-∞

Define f (x) = x+3 Identify which of the following are points on the graph of this function (identify ALL correct answers!). A) (-0.5,0.2) B) (1,0.25) C) (-2,-2) D) (5,0.625) E) (-1,2) F) (0,3)

Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and decreasing. Your answer should either be a single interval, such as "(0,1)", a comma separated list of intervals, such as "(-inf, 2), (3,4)" , or the word "none".

The figure is the graph of the derivative, f', of a function f on [-4,4]. A Determine the intervals on which f is increasing. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is increasing on Determine the intervals on which fis decreasing. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is decreasing on Determine the intervals on which f is concave down. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is concave down on Determine the intervals on which is concave up. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) fis concave up on