Consider the function below. f(2) = x2+ 8x+9 Answer the questions below Part 1: Enter your answers as a list. If the answer is empty, type DNE. For what real numbers does f have a discontinuity? For what real numbers does f have a critical number? Part 2: Part 3: Note: You can earn partial credit on this problem.Let f(x) = 5 + 8x - 23. Find the open intervals on which f is increasing (decreasing). Then, determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima of f occur at x 4. The relative minima of f occur at a = Notes: In the first two, 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". In the last two, your answer should be a comma separated list of x values or the word "none".Let f(a) = 4ac2 - 6:4. Find the open intervals on which f is increasing (decreasing). Then, determine the x-coordinates of all relative maxima (minima). click here to read examples. 1. f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima of f occur at * = 4. The relative minima of f occur at x = Notes: In the first two, 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". In the last two, your answer should be a comma separated list of x values or the word "none".Let f(x) = 8x3 + 9. Find the open intervals on which f is increasing (decreasing). Then, determine the x-coordinates of all relative maxima (minima). click here to read examples. 1. f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima of f occur at x 4. The relative minima of f occur at x Notes: In the first two, 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". In the last two, your answer should be a comma separated list of x values or the word "none".Suppose that f(2) = 23-4x2+1. (A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f (x) is decreasing. Decreasing: (C) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter -1000. If there are more than one, enter them separated by commas. Local maxima at a = (D) Find the x-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas. Local minima at x =Let f(z) = 28 - 3x - 12. Find the open intervals on which f is increasing (decreasing). Then, determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima of f occur at = 4. The relative minima of f occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), 3 comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last two, your answer should be a comma separated list of * values or the word "none".Consider the function below. f(x) = 23 - 6x2 +9x+4 Answer the questions below Part 1: Enter your answers as a list. If the answer is empty, type DNE. For what real numbers does f have a discontinuity? For what real numbers does f have a critical number? Part 2: Part 3:Consider the function f(x) - -2x3 + 24x2 - 72x + 1. This function has two critical numbers A