(5) For the following function, f(x) = -3r+30x+4 (a) Find the vertex (b)Determine whether there is...
(7) For the following function, S(x) = 5x +40x+1 (a) Find the vertex (b)Determine whether there is a maximum or minimum value. Find that value (c) Make a rough sketch of the graph showing the point where the maximum or minimum value lies (d) Find the range (e) Find the intervals on which the function is increasing and the intervals on which the function is decreasing
Given the following function, (a) find the vertex; (b) determine whether there is a maximum or a minimum value, and find the value; (c) find the range, and (d) find the intervals on which the function is increasing and the intervals on which the function is decreasing. f(x) = - 4x2 - 20x + 7
(3) For the function y =-2(x-1)2 find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing °For the function y = 0.5(x + 3)2 + 2, find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing
show work 2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
show work 2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
graph the quadratic function. Find the x- and y-intercepts of each graph, if any exist. If it is given in general form, convert it into standard form; if it is given in standard form, convert it into general form. Find the domain and range of the function and list the intervals on which the function is increasing or decreasing. Identify the vertex and the axis of symmetry and determine whether the vertex yields a relative and absolute maximum or minimum....
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm g) Sketch the graph...
Consider the given function f(x) = 19 4 (a) Determine whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (1) Determine the axis of symmetry. (9) Determine the minimum or maximum value of the function. (h) Write the domain and range in interval notation. Write your answers in exact form. Part: 0 / 9 Part 1 of 9 (a) Determine whether the graph...
4. For this question, define f(x) = (x - 1)e-(0-1). (a) Find f'(x) and f"(x). (b) Find where S is increasing and where / is decreasing (e) Find where S is concave up and where / is concave down. (a) Find all critical points of . For each point you find, explain whether it is a (relative) maximum, a (relative) minimum or neither. (e) Find all points of inflection of f. For each point you find, explain why it is...
4. For the following function f find the domain; the asymptotes ;intervals where f is increasing, decreasing, concave upward, concave downward; local maximum, minimum and inflection points; sketch the graph: f(x) = 1/(x-1)3