It is known that the expression of a function is the square of y = x, and its range is [1,9]. How many such functions are there? Try to write out two of them Set M = {a, B, C}, n = {- 1,0,1}, the mapping f from m to n satisfies the relation f (a) > F (b) > = f (c), then what is the number of mappings? A.1 B.2 C.3 D.4 Given that f (x + 1 under radical) = x + 2 under radical, find f (x)

It is known that the expression of a function is the square of y = x, and its range is [1,9]. How many such functions are there? Try to write out two of them Set M = {a, B, C}, n = {- 1,0,1}, the mapping f from m to n satisfies the relation f (a) > F (b) > = f (c), then what is the number of mappings? A.1 B.2 C.3 D.4 Given that f (x + 1 under radical) = x + 2 under radical, find f (x)

1. Innumerable squares of 4 = 2 8 = 2 times the square of root 2
2、A a=1 b=0 c=-1
3、

Given the function f (x) = x'2-mx + N and f (1) = - 1, f (n) = m, find the value or expression of F (- 1), f [f (- 1)], f [f (x)] (x'2 refers to the square of x)

F (1) = - 1 1-m + n = - 1 M-N = 2 F (n) = m n ^ 2-MN + n = m n (n-m) + (n-m) = 0 (n + 1) (n-m) = 0 because M-N = 2, n = - 1 m = 1 f (x) = x ^ 2-x-1 f (- 1) = 1 + 1-1 = 1 f (f (- 1)) = f (1) = - 1 f (f (x)) = f (x ^ 2-x-1) = (x ^ 2-x-1) ^ 2 - (x ^ 2-x-1) - 1 = x ^ 4-2x ^ 3-2x ^ 2 + 3x + 1

Given that the function f (x) = X3 + MX2 + (M + 6) x + 1 has both maxima and minima, the value range of real number m is ()
A. （-1，2）B. （-∞，-3）∪（6，+∞）C. （-3，6）D. （-∞，-1）∪（2，+∞）

∵ the function f (x) = X3 + MX2 + (M + 6) x + 1 has both maxima and minima, and f ′ (x) = 3x2 + 2mx + m + 6 ∵ △ = 4m2-12 (M + 6) > 0. The solution is m ＜ - 3 or m ＞ 6, so B is chosen