If the image of the linear function y = (m-2) x + (n-1) does not pass through the second quadrant, then M (), n ()
The image of the linear function y = (m-2) x + (n-1) does not pass through the second quadrant, that is, it passes through the first, third and fourth quadrants,
So m-2 > 0, n-12, n
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- 1. Given the first-order function y = MX - (m-2), this paper discusses the increase and decrease of the first-order function and the quadrant of the image according to the different values of M
- 2. If the image of quadratic function y = x2 + MX + n has only one intersection (- 2,0) with X axis, then M=_____ ,n=_____ .
- 3. The analytic expression of the line obtained by translating the line y = - 2x + 3 down four units is? A y=-2x+7 B y=-2x-1 C y=-2x+11 D y=-2x-5
- 4. Translate the straight line y = - 2x + 1 to the left along the y-axis by 3 units, and the function formula of the straight line is obtained
- 5. If the line y = 2x-6 moves 3 units to the left along the x-axis, and then 2 units to the up along the y-axis, the analytical expression of the line is
- 6. If the line L and the line x + Y-1 = 0 are symmetric about the Y axis, then the equation of the line L is______ .
- 7. If the line L and the line x + Y-1 = 0 are symmetric about the Y axis, then the equation of the line L is______ .
- 8. Linear equation of 2x-y-5 = 0 on X-axis symmetry Y-axis origin
- 9. The linear equation of y = 2x with respect to X-axis symmetry is______ .
- 10. The intersection of the straight line y = 2x + 3 and the parabola y = x square is a and B. find the OAB area of the triangle
- 11. If y = (M + 1) XM2 − m-3x + 1 is a quadratic function, then the value of M is______ .
- 12. Please prove the monotonicity of exponential function Proof Halo, what is derivative? Is there another way?
- 13. Who can give a strict proof of monotonicity of exponential function? Can you be more detailed I just want to avoid using high numbers Let X1 be less than X2, that is, △ x = x2-x1 > 0 ∴△y=a^X2-a^X1=a^X1*[a^(X2-X1)-1] When a ﹥ 1, as long as we can prove that a ^ (x2-x1) ﹥ 1, we can prove that the function is A > 1 is an increasing function. So the problem now becomes how to prove that when a > 1, there is a ^ (x2-x1) > 1. This seems to involve the monotonicity of power function. How to deal with power function? If only anyone knew (try to avoid Advanced Mathematics)
- 14. How to find the monotonicity of exponential function
- 15. Monotonicity proof of high school exponential function Y = 2 ^ x to prove monotonicity. I'm in grade one of senior high school. Can I use a simpler definition, such as the definition of monotonicity Solution 1: let X1 < X2, let C = x2-x1 > 0 f(x1)-f(x2)=2^x1-2^x2 =2^x1(1-x^c) ∵c>0 1 < x ^ C (how did you get this step? Isn't it proved by the definition of monotonicity?) Solution 2: let X1 < x2 and C = x2-x1 > 0 F (x1) divided by F (x2) = 2 ^ (x1-x2) ∵x1-x2<0 2 ^ (x1-x2) < 2 ^ 0 = 1 The above two solutions will fall into a cycle, so we can find the positive solution of monotonicity definition,
- 16. Is {y = 6} ^ {x + 1} an exponential function
- 17. Exponential function y = a ^ x + 3 over fixed point——
- 18. Is y = 6 ^ (x ^ 3 + 2) an exponential function Is it? Why?
- 19. Function y = (1 / 2) ^ √ - x ^ 2 + 2x + 3, domain x belongs to [- 1,3], let t = - x ^ 2 + 2x + 3 Then t belongs to. U = √ T, then u belongs to. Then y = (1 / 2) ^ u belongs to. When x belongs to [1,3], t = - x ^ 2 + 2x + 3 monotone recursion. Y = (1 / 2) ^ u monotone recursion on r.. F (x) monotone recursion It is mainly to explain why "y = (1 / 2) ^ u belongs to" here, y is equal to that. In addition, to find "y = (1 / 2) ^ u belongs to" is to find the function range The questions may be a bit messy, If I get it, I'll do it! U belongs to [0.2], isn't y = (1 / 2) ^ u equal to y = (1 / 2) ^ 0 and y = (1 / 2) ^ 2?
- 20. Problems of exponential function in grade one of senior high school The graph of function y = (1 / 3) ^ (absolute value x) is given and the monotone interval is pointed out~