9 Find the derivative of the function F(x) = 3x - 2 2 - 9x Answer 2 Points F'(x) =
7. Show that the equation f(x) = x^3 + 3x^2 - 9x + 7 = 0 has a solution for some x is E(-6; -5). Apply Newton’s method with an initial guess x0 = -5 to find x2. 8. Find the intervals of increase and decrease of the function x2e^-2x. 9. Sketch the graph of the curve y = x3 + 3x2 - 9x + 7. Be sure to find the intervals of increase, decrease and constant concavity and all...
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function is g(x) = 1/3 x^3 - 3x^2-9x+20
a) Find, if any, all local extrema (local max, local min) and the inflection point for g(x). 15 points b) What basic cubic equation does g(x) strongly resemble? In other words, the above g(x) is what other cubic function f(x) shifted and scaled by 1/3 : 10 points
The polynomial function fis defined by f(x) = -3x +7xº+3x-9x-1. Use the ALEKS graphing calculator to find all the points (x,8(x)) where there is a local Round to the nearest hundredth. If there is more than one point, enter them using the "and" button. (s. S()) = 00 Cand Х 5 ? Continue
f(x) = 2x4 – 9x²+3x+4 As x = -00,f(x) = and as x = 0, $(x) .
AT 110 201910 uiz #3C (2,8) Shanaon Kgby ame waluate the function for the given value of x. 1) f(x) 4x, g(x) = 3x +9, (g -f )(x) = ? A) (g-f)(x) 3x+4x-9 C) (g-f)(x) = 3x-4x-9 B) (g -f)(x) = 3.x+ 4x+9 D) g-f)(x) 3x-4x+9 2) p(x) x2 +9x, q(x) = x - 7, (p. q)x) = ? A) (p q)x)x+9x x-7 )(p.a)x) (x2 +9x x - 7 B) (p 4)x) = +9x) (x- 7) D) x -7+9x-7 3)...
For the function g(x)= 10x² + 9x Express the slope of the secant line in terms of x and h. Find m e for h=0.5, 0.1, and 0.01 at x 1. What value does m approach as h approaches 0? (c) Find the equation for the secant line at x 1 with h -0.01. Graph g and the secant line found in part (c) on the same viewing window Find the average rate of change of f(x) x - 2x...
(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find an equation for this shifted function in terms of the function f(x) For example, y = 10/(9x + 8) + 7. help (equations) (b) The graph of the function y 2 is shifted up 2 units. Find an equation for this shifted function. ihelp (equations) (c) The graph of a function y = g(x) is shifted down 5 units. Find an equation for this...
Consider the function f(x) = x3 + 3x² - 9x +1. (a) Identify all critical points of f(x). (Providing the -values will be sufficient. Hint: They will be integers.) (b) Use your answer from (a) to identify the absolute maximum value (global max) and absolute minimum value (global min) of f(x) over the x-interval (-2,2]. (Be clear and correct about what you are checking for full credit!)
11) Fin 12) If f(x) = 3x-5 and g(x) = x2 +3x-1, find f(f(x)), g(g(x)), f(g(x)), and g(f(x)) 17 find the eyart value of siny if x is an angle in standard position whose terminal side conta