(7) For the following function, S(x) = 5x +40x+1 (a) Find the vertex (b)Determine whether there...
(5) For the following function, f(x) = -3r+30x+4 (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
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...
Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) FX) 23 local minimum X local maximum X- neither Determine the intervals on which the function is increasing or decreasing, (Enter your answers using interval notation Enter EMPTY or for the empty set.) increasing decreasing Submit Answer
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.
Consider the following function. f(x) = 5x + 81 - 2 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x,y) = relative minimum (X,Y)...
For the function below, (a) find the vertex; (b) find the axis of symmetry: (c) determine a minimum value and find that value; and (d) graph the function. f(x) = x2 + 8x + 17 (a) The vertex is (Type an ordered pair, using integers or fractions.) (b) The axis of symmetry is (Type an equation. Use integers or fractions for any numbers in the equation.) (c) Does f(x) have a maximum or a minimum value? The parabola f(x) has...