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Among the following functions, the function which is both even and monotonically decreasing on the interval (0,1) is () A. y=1xB. y=lgxC. y=cosxD. y=x2
The function y = 1 x is odd, the function y = lgx of a incorrect function is non odd and non even, the function y = cosx of B incorrect function is even, monotonically decreasing on (0,1), the function y = x2 of C correct function is even, monotonically increasing on (0,1), and the function d incorrect, so C correct function is selected
RELATED INFORMATIONS
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- 4. If f (x) is defined as a function on R, and f (10 + x) = f (10-x), f (20-x) = - f (20 + x), it is proved that f (x) is an odd function and periodic function
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- 6. Find function definition field y = log3 [Log1 / 3 (log3x)]
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- 9. The number of intersections between the image and the X axis of the function f (x) = x * LG (x + 2) - 1 is ()
- 10. How many intersections are there between the image of function y = x ^ 2-3 / X-1 / - 1 and X axis
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- 12. F (x) = 1 + X / 1-x, F1 (x) = f (x), FK + 1 (x) = f [FK (x)], k = 1,2..., find F3 (x), F4 (x), F5 (x) I figured out that F1 (x) = 1 + X / 1-x, F2 (x) = - 1 / x, but F3 (x), F4 (x), F5 (x) are not big
- 13. If the domain of F (x) is symmetric about the origin, then F1 (x) = f (x) + F (- x) is an even function and F2 (x) = f (x) - f (- x) is an odd function
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- 15. Let the image of two quadratic functions be symmetric with respect to the straight line x = 1, and the analytic expression of one function is y = x ＾ 2 + 2x + 1?
- 16. If the image of functions g (x) and f (x) = - 2x + 1 is symmetric with respect to y = x, then G (x)=___ Ask for detailed explanation
- 17. Given the function f (x) = sin (Wx + π / 4), where w > 0, if the distance between two adjacent symmetrical axes of the function f (x) image is equal to π / 3, the analytic expression of the function is obtained And find the minimum positive real number m so that the function corresponding to m unit length of the function image is even
- 18. It is known that ω > 0,0
- 19. Known w > 0,0
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