Explore a behavior ofthe function y = ein the vicinity of a point of discontinuity. Sketch...
1 point) Sketch the graph of the function y = x(4-2) - 103 In x. Indicate the transition points (local extrema and points of inflection) (Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list of e-coordinates. Enter NULL in answer field if there is no such point.) Local maximum at = help (fractions) Local minimum at I= Inflection at I= (1 point) Sketch the graph of the function y = 81x +...
Sketch a graph of a function f(x) that satisfies each of these conditions. f (x) has a jump discontinuity at x = -3, and a displaced point at x = -1 f (x) is continuous on lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o
(1 point) A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not continuous at a. 2. f(a) could either be defined or redefined so that the new function is continuous at a. Let f(x) = 2x2+6x–80 X-5 Show that f has a removable discontinuity at 5 and determine the value for f(5) that would make f continuous at 5. Need to redefine f(5) =
(1 point) From Rogawski 2e section 4.5, exercise 26. Sketch the graph of the function y VIlx+ V10- Indicate the transition points (ocal extrema and points of inflection) use symbolic notation and fractions where needed. Give your answer in the form of comma separated list of x-coordinates. Enter NULL in ans (Use there is no such point.) Local maximum at x 1-4 help (fractions) Local minimum at xnull Inflection at null (1 point) From Rogawski 2e section 4.5, exercise 26....
Draw the graph of a function f on [0, 4) with the given property: Jump discontinuity at x = 2 and satisfies the conclusion of the IVT on (0, 4]
(1 point) Sketch the graph of the function k(t) = $* (obv – 4) – 5(2 – 8)) dw, Ost<co Use the graph to express k(t) in terms of shifts of the Heaviside step function. Use h(t) for the Heaviside function. k(t) =
use the graph of the function to sketch the graph of its inverse function y=f^-1(x) 1 2 3 4
For the graph y = p(t) shown to the right, determine the points of discontinuity and justify your answer. 1pt) 10 6 0 2 و لا 4 6
13) Consider the function f(, y)-4x2 +y a) Sketch a graph of level curves for fox.y)-4,8 and 16 (they should be ellipses) in xa-plare b) Calculate the gradient of f at the point (1,2). c) Find a direction (expressed as a unit vector) for which the directional derivative at the point (1,2) is 0. 13) Consider the function f(, y)-4x2 +y a) Sketch a graph of level curves for fox.y)-4,8 and 16 (they should be ellipses) in xa-plare b) Calculate...
(1 point) Sketch the graph of the function K 00 0 Use the graph to express k(t) in terms of shifts of the Heaviside step function h(t). k(t) = (1 point) Sketch the graph of the function K 00 0 Use the graph to express k(t) in terms of shifts of the Heaviside step function h(t). k(t) =