F (x) are respectively equal to: F (x) = ax + 1 x ≤ 2 F (x) = x ^ 2 x > 2 find a B

F (x) are equal to:
f(x)=ax+b x≤2
f(x)=x^2 x>2
1. Continuous
2a＋b=2²
2a＋b=4
2. Derivable
Left derivative = a
Right derivative = 4
a=4
therefore
b=4-8=-4
Namely
a=4,b=-4

RELATED INFORMATIONS

1. If f (x) = (AX + 1) (x + a) is an odd function, what is f (2) equal to
2. Let f (x) = x ^ 2-ax + 1, and | f (1) | be less than or equal to 1, find the range of A
3. If f (1-2x) = 1-x ^ 2 / x ^ 2 (x is not equal to 0), then f (1 / 2)=___
4. F (x) + F [(x-1) / x] = 2x, X is not equal to 0,1. Find f (x)
5. If f (x-1) = x ^ 2 + 4x-5, then f (x + 1) equals Such as the title
6. If f {2 ^ x} = 4x, then f {8} is equal to
7. Given the function f (x) = 14x4 − X3 + x2 + a (0 & lt; X ≤ 6); (1) find the monotone interval and the maximum value of the function; (2) when a is the value, the equation f (x) = 0 has three different real roots
8. If f (2x-1) = 4x ^ 2 + 4x + 2, what is f (x) equal to?
9. Given the function f (x + 2) = x & # 178; - x + 1, then f (x) is equal to
10. Is function f (x) + F (1) equal to function f (x + 1)
11. Let f (x) = ax + 4, if f ′ (1) = 2, then the value of a () A. 2B. -2C. 3D. -3
12. Given the function f (x) = 3, X ∈ R, then the value of F (3) is equal to
13. Given the function f (x) = 11-x, then f (3) = 0___ ．
14. If f (x) = x ^ 3-x ^ 2-x + 1, what is the maximum value of X on [- 1,1]?
15. Let f (x) = x (x + 1) (x + 2) (x + n), then f ′ (0)=______ ．
16. Let f (x) = A / x + A, and f (2) = 3 / 2, then f (1) is equal to
17. Given 2F (1 / x) + F (x) = x (x is not equal to 0), find f (x)
18. It is known that the function f (x) is equal to one part of X, X
19. If f (x) = x + (A / x-1) has a minimum value of 4 when x is greater than or equal to 3, then a =? Needs process, good + 100 points
20. If f (x) = - cos π x (x > 0) f (x + 1) + 1 (x ≤ 0), then the value of F (43) + F (- 43) is equal to______ ．