30) Consider the equation H(x) = -x graph corresponds to it? + 21 x + 46...
Graph the piecewise function. (Apts) -8²+2 13. h(x) ix-21 If 1<x<3 -6 if x 25 b. Where is h(x) increasing? (Ipt each) c. Where is h(x) decreasing? d. Is there an x-intercept, if so where? e. Is there a y-intercept, if so where?
Consider the equation below. (If an answer does not exist, enter DNE.) FX) - - 2 - 15x + 4 (a) Find the interval on which is increasing (Enter your answer using interval notation) Find the interval on which is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of local minimum value local maximum value (c) Find the inflection point (X,Y) - Find the interval on which is concave up. (Enter your answer...
3. Consider the function f(x) = x2 - 6x^2 - 5 a. Find the values of x such that f'(x) = 0. b. Use the results of part a to: find interval(s) on which the function is increasing and interval(s) on which it is decreasing. c. Find the value(s) of x such that f"(x)=0. d. Use the result of part c to find interval(s) on which f(x) is concave up and interval(s) on which it is concave down. e. Sketch...
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and X-intercepts, if any. Does the graph off open up or down? 12 8- up Odown 2015 12 118 12 16 What are the coordinates of the vertex? The vertex of the parabola is (Type an ordered pair. Use integers or fractions...
(y-2)2 In the graph to the right, the equation of the parabola is x= 2 and the equation of the line is y = 6-x. Find the area of the shaded region. Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes to complete your choice. (Type exact answers.) OA. sody OB. SO dx The area of the shaded region is (Type...
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For the quadratic function f(x) = x2 + 4x - 5 answer parts (a) through (c). (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any. Does the graph off open up or down? 12 8-...
In the graph to the right, the equation of the parabola is x= region (y-4)2 4 and the equation of the line is y = 7 - x. Find the area of the shaded Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes to complete your choice (Type exact answers.) OA SO dy OB. So dx The area of the shaded...
This uestion: 10 pts 5 of 10 (3 completo) For the quadratic function f(x)=x2- Bx, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vortex, as of symmetry. y-intercept, and x-intercopts, any Does the graph of open up or down? down up 2013 What are the coordinates of the vortex? The vertex of the parabola is (Type an ordered pair Use intogers of fractions for any...
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3. Let h be a function whose first derivative is h/(x) = S:* 3(In( + 3))? dt. For 6 < x < 12, which of the following is true? Oh is increasing and the graph of his concave down. Oh is increasing and the graph of h is concave up. Oh is decreasing and the graph of h is concave down. 0 h is decreasing and the graph of h is concave up. Oh...
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T hen graph fand give the (a) domain and (b) range. Determine the largest open Explain how the graph of the function f(x) = can be obtained from the graph of y intervals of the domain over which the function is (c) increasing or (d) decreasing. To obtain the graph oft, the graph of y by a factor of Graph the function f(x) = Choose the correct graph below. OB. (a) The domain of f(x) is (Type your...