Judge the parity of F (x) = 1 / A to the power of X + 1-1 / 2 (a is greater than 0 and a is not equal to 1)
If we compare f (x) with F (- x), we find that f (x) + F (- x) = 0, so it is an odd function
RELATED INFORMATIONS
- 1. Judge the parity of the following functions: F (x) = x power of a minus 1 / 2 (a is greater than 0 and a is not equal to 1)
- 2. Judge the parity of F (x) = 1 + SiNx − cos2x1 + SiNx
- 3. The graph of function y = | 3 ^ X-1 | is given, and the value of K is pointed out. When the equation | 3 ^ X-1 | = k has no solution, how many solutions The graph of function y = | 3 ^ X-1 | is given, and the value of K is pointed out. When the equation | 3 ^ X-1 | = k has no solution, it has two solutions Why there are two intersections when 0 < K < 1
- 4. The function f (x) = | X-1 | - | x + 2 | (1) the function is expressed in the form of piecewise function; (2) the image of the function is drawn in the coordinate given on the right; (3) the definition domain, value domain, parity and monotone interval of the function are written out (no proof is required)
- 5. Draw the graph of the function f (x) = Log1 / 3x-1, and answer with the graph: when is the real number k, the equation Log1 / 3x-1 = k has no solution? The equation is logarithm-1 of absolute value Log1 / 3 bottom X
- 6. Draw the function y = | x-3 | + X + 1 |, and find out the value range of the function, important figure
- 7. Given the function f (x) = x + 1 + X-2, draw the image of the function I'm in a hurry!
- 8. It is known that the quadratic function FX = AX2 + BX (a, B are constants, and a is not equal to 0) satisfies the following conditions: F (- x + 5) = f (x-3), and the equation f (x) = x has real roots (1) Find the analytic expression of F (x); (2) whether there are real numbers m, n (m < n), so that the definition field and value field of F (x) are [M, n] and [3M, 3N]? Request the value of M, n
- 9. It is known that the vertex coordinates of the quadratic function y = f (x) are (3 / 2,49), and the difference between the two real roots of the equation f (x) = 0 is equal to 7,
- 10. When the vertex of the image of quadratic function f (x) is known, m (- 2 / 3,49), the difference between the two equations f (x) = 0 is equal to 7, and the analytic expression of quadratic function f (x) is obtained
- 11. Given the function f (x) = (12x-1 + 12) SiNx & nbsp; (- π 2 < x < π 2 and X ≠ 0) (1) judge the parity of F (x); (2) prove that f (x) > 0
- 12. It is known that the intersection of the line y = 2x-1 and the two axes is a and B respectively, and the image with function y = 2x square passes through a and B after translation RT 1. Find the analytical formula of parabola after translation 2. Calculate the vertex coordinates of the function image after translation [this question is the 14 questions on P31 of ninth grade mathematics class training (Zhejiang Education Edition)]
- 13. It is known that the image of parabola y = the square of minus two-thirds x + four-thirds x + 2 intersects with X-axis at two points a and B, intersects with Y-axis at point C, the symmetry axis of parabola intersects with X-axis at point D, and point m starts from point O and moves to point B at a speed of 1 unit length per second. Point m is perpendicular to x-axis and intersects object line at point P (1) Find the coordinates of point B and point C; (2) Suppose that the area of the quadrilateral OmpC is s when the point m moves x (seconds), find the functional relationship between S and X, and point out the value range of the independent variable x
- 14. Y = x square - 2 | x + 1 | - 1 how to draw an image
- 15. How to draw a graph where the square of x plus the square of Y equals 1 It's drawn on the axis This is x ^ 2 + y ^ 2 = 1 ^ 2,
- 16. Is y = x2 / 3 (2 / 3 is power exponent, i.e. two thirds power of x) differentiable at x = 0 Y = x2 / 3 (2 / 3 is power exponent, i.e. two thirds power of x) Is it differentiable at x = 0 because the left derivative is negative infinity and the right derivative is positive infinity? Although the left and right derivatives are not equal, the tangents of them coincide at x = 0. I don't know whether it is differentiable On the first floor, I don't think your method is appropriate. For example: y = 0 (x = 0); y = x ^ 2 * sin (1 / x) (x / = 0), where x = 0 is y '= 2x * sin (1 / x) + cos (1 / x), X / = 0, then the point is not differentiable, But from the definition calculation, we can clearly get that the function is differentiable at x = 0, y '= LIM (x * sin (1 / x)) = 0, and y' tends to 0, but my question y 'can also be obtained from the definition as y' = LIM (x ^ (- 1 / 3)), and the left tends to negative infinity, the right tends to positive infinity, and the left is unequal
- 17. What is the power of a to B of X What is the 1 / 2 power of X What is the 1 / 3 power of X
- 18. It is known that the negative power of x plus x is equal to 3. Find the value of 1 / 2 of x plus 1 / 2 of X
- 19. If the x power of a is equal to the W power of 70, then the w-th power of a is equal to the z-th power of 70 ~ why? I don't know why,
- 20. If 2lg (x-2y) = lgx + lgY, then log2xy=______ .