Is even function always symmetric about Y-axis? Why? Is y = f (x + 8) even function, and is the graph drawn symmetric about Y-axis?

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• 1. Are the images of odd functions crossing the origin? Do the images of even functions intersect the y-axis
• 2. If the image of function f (x) = ax + 1 / X-1 is symmetric with respect to the line y = x, then a=
• 3. If f (x) = 1 of a + (2 ^ x + 1) is an odd function, then a =?
• 4. 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~
• 5. 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?
• 6. Is y = 6 ^ (x ^ 3 + 2) an exponential function Is it? Why?
• 7. Exponential function y = a ^ x + 3 over fixed point——
• 8. Is {y = 6} ^ {x + 1} an exponential function
• 9. 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,
• 10. How to find the monotonicity of exponential function
• 11. The number of intersections between the image of functions f (x) = 4x-4 (x is less than or equal to 1) and f (x) = x ^ 2-4x + 3 (x > 1) and the image of function g (x) = 1og with the base number of 2x is many What is the number of intersections between the image of functions f (x) = 4x-4 (x is less than or equal to 1) and f (x) = x ^ 2-4x + 3 (x > 1) and the image of function g (x) = 1og whose base is 2x? Three,
• 12. The area of the triangle formed by the image and two coordinate axes of the linear function y = 2x + 3 is ()
• 13. If the area of the triangle formed by the line y = - 2x + K and the two axes is 9, then the value of K is () A. 6B. 9C. - 6D. 6 and - 6
• 14. If the area of the triangle formed by the image of the first-order function y = - 2x + B and the two coordinate axes is 9, then B=______ ．
• 15. If the area of the triangle formed by the line y = 2x + B and the coordinate axis is 6, then the analytic expression of the function of the line is
• 16. The image of a positive scale function passes through a point (- 2,8) and passes through a point a on the image to form a vertical line of y-axis. The vertical foot is B (0,6)
• 17. The image of positive scale function passes through points (2, - 4) and makes a vertical line of X axis through a point a on the image. The vertical foot is B (4,0), Finding the coordinates of point a and the area of triangle AOB
• 18. The image of the positive ratio function y = x and the image of the inverse ratio function y = x (K ≠ 0) intersect with point a at the first term limit, and make a vertical line of X axis through point a, with the perpendicular foot M
• 19. It is known that the line y = KX + B passes through the point (2.5,0), and the area of the triangle surrounded by the coordinate axis is 6.25. The function analytical formula of the line is obtained
• 20. The area of the triangle formed by the line y = KX + 3 and the two coordinate axes is 9, and the value of K is obtained