WebBy the Remainder Theorem, is root and (2x-1) is a factor of y = 2x 3-x 2-8x+4. f(x) = 2x 3-x 2-8x+4 = (2x-1) (x 2-4) = (2x-1) (x-2) (x+2) Therefore, by the Factor Theorem, the equation y = 2x 3-x 2-8x+4 has roots at. x = -2, and 2. Hence, the smallest positive root is . (iii) From the graph, it seems that the smallest positive root is . f = 3 ... WebFree functions turning points calculator - find functions turning points step-by-step
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WebA graphing calculator can be used to graph functions, solve equations, identify function properties, and perform tasks with variables. What role do online graphing calculators … Weby = x3 – 10x2 + kx, where k is a constant. The point . P. on . C. is the maximum turning point. Given that the . x-coordinate of P is 2, (a) show that k = 28. (3) The line through P parallel … thoracic spine mild degenerative changes
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Web(ii) y = 2f ( ). 2 1 x (4) (b) Sketch the curve with equation =f( )y x (3) On your sketch show the coordinates of all turning points and the coordinates of the point at which the curve cuts … Web7 Dec 2024 · The diagram shows part of the graph of y=x^2-2x + 3, By drawing a suitable straight line, use your graph to find some estimates for the solutions of x^2-3x-1 = 0 Heres … Webstep1 Given function is fix) = 4 x"- 6x- 6 6*+ 9 Step 2 For vertical asymptotes substitute 6x + 9 = 0 6 x = -9 - 9 6 2 Therefore 2 = - 3 because y= fixes -zoo as x - - 3 Step3 Fox Horizontal asymptote, evaluate the limit Lim 4x- 6x - 6 4x - 6 - X 6x - 9 6 - 2 y = 00 - 6 - 0 Does not exist 16 - 0 The horizontal asymptote does not exist Drew the function along with asymptote as … ultra fast shader pack