The image of the function f (x) lg1-x / 1 + X is symmetric about the point
F (- x) = LG (1 + x) / (1-x) = - LG (1-x) / (1 + x) = - f (x), so f (x) is an odd function and f (x) is symmetric about the origin (0,0)
RELATED INFORMATIONS
- 1. How to draw the image of y = - lgx? How to draw y = lgx image?
- 2. 1. Given that the period of function y = f (x) is 2, when x ∈ [0,1], f (x) = x ^ 2, find the value of F (2007) 2. Given that the period of function y = f (x) is t, find the period of function y = f (AX + b) (a > 0)
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- 4. The coordinates of the intersection of the Y-axis and the x-axis of the image with the square of the function y = 9x - 6x + 6 are
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- 7. The number of intersections of the image of the function y = 2x and y = X2 is () A. 0B. 1C. 2D. 3
- 8. If the image intersection coordinates of the function y = 3x + A and the function y = - (1,3) x + B are (- 3, - 4), then a=_____ ,b=_______ .
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- 17. Function f (x) = 1 + X + x ^ 2 / 2 + x ^ 3 / 3?
- 18. 1. Function y = - x2 + X-1 how many intersections are there between image and X axis 3. The vertex coordinates of the function y = - 1 / 2 (x + 1) 2 + 2 are 4. According to the following conditions, find the analytic expression of quadratic function. (1) the image passes through points (1, - 2), (0, - 3), (- 1, - 6); (2) When x = 3, the function has a minimum value of 5 and passes through points (1,11); (3) The function image intersects the x-axis at two points (1 - √ 2,0) and (1 + √ 2,0), and intersects the y-axis at (0, - 2)
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- 20. The number of intersections between the image and the X axis of the function f (x) = x * LG (x + 2) - 1 is ()