Function simplification: change the absolute value of F (x) = (x-3) + (x + 2) into a piecewise function
The zero point method is the two zeros of x = - 2 and x = 3
x
RELATED INFORMATIONS
- 1. If f (x) defined on R satisfies f (x + y) = f (x) + F (y) + 2XY (x, y ∈ R), f (1) = 2, then f (- 3) is equal to () A. 2B. 3C. 6D. 9
- 2. If the function f (x) defined on R satisfies f (x + y) = f (x) + F (y) + 2XY (x, y belongs to R), f (1) = 2, then f (- 2) is equal to
- 3. a> If the image of the function y = a ^ (x + 1) - 1 is over a certain point, then the fixed point coordinate is
- 4. Given the function y = x / K (k is a constant not equal to zero), the value of Y decreases as the value of x increases. Point a (3, K-2) calculates the value of K on the image of this function
- 5. If the point P (2m-1,1) is on the image with inverse scale function y = 1 / x, then M =?
- 6. In the linear function y = - 3x + 1, if the independent variable x satisfies_______ The function graph is in the first quadrant
- 7. Find the value range of independent variable x in quadratic function y = x + 3 / X
- 8. The function y = 2x & # 178; - BX + C passes through (1,2), (0,4) point 1. Find the analytic expression of quadratic function 2. When the independent variable x takes a value in what range, y follows X And increase 3, the quadratic function has a maximum or a minimum? If so, when x takes what value, the function gets the maximum or the minimum? And find the maximum and minimum
- 9. The image of inverse scale function y = K / X and primary function y = KX + m has an intersection point whose coordinate is [3,3]. Find the coordinate of the other intersection point of two functions
- 10. The image of the function y = - 2x + 4 passes through the? Quadrant and intersects with the x-axis at the point? And intersects with the y-axis at the? And Y increases with the increase of X?
- 11. In the function y = x + 1, the value range of the independent variable x is______ .
- 12. It is known that the quadratic function f (x) satisfies f (- 1) = 0, and 8x ≤ f (x) ≤ 4 (x ^ 2 + 1) holds constant for X ∈ R. the expression of (1) for f (1) and (2) for f (x) is obtained
- 13. Given that the maximum value of the function y = - x2 + ax-a / 4 + 1 / 2 (x belongs to [- 1,1]) is 2, find the value of A emergency
- 14. Given the function f (x) = x 2 + ax + 3, when x ∈ [- 2,2], f (x) ≥ A is constant, and the minimum value of a is obtained
- 15. When m is a value, the function y is equal to the power of 2m minus 1 of (m plus 3) x plus 4x minus 5 (x is not 0), which is a first-order function
- 16. The coordinates of the intersection of the image of the linear function y = √ 2x + √ 3 with the X axis and Y axis, and the area of the triangle enclosed by the coordinate axis
- 17. If the area of the triangle formed by the function y = - 3 / 2x + B and the coordinate axis is 12, then B =?
- 18. Let f (x) = x ^ 2 + X + C (C is greater than 0), if f (x) = 0 has two real roots: x1, X2, (x1 is less than x2) Ask for: 1: The value range of positive real number C 2: Find the value range of x2-x1 3: If there is a real number m such that f (m) is less than 0, we prove that M + 1 is greater than x2
- 19. It is known that the vertex of the image of quadratic function f (x) is m (- 1.5,49), and the difference between the two equations f (x) = 0 = 7. The analytic expression of quadratic function is obtained
- 20. Given the function f (x) = x + 1 + X-1 (1), draw the image of F (x) (2) write the minimum value of F (x) according to the image