If the sum of the maximum and minimum values of the function f (x) = a ^ x (a > 0, a ≠ 1) on [0,1] is 3, then a is equal to

Exponential function is monotone function
So the maximum and minimum are on the boundary
So a ^ 0 + A ^ 1 = 3
1+a=3
a=2

RELATED INFORMATIONS

1. If a cubic function has a maximum value of 4 when x = 1 and a minimum value of 0 when x = 3, and the function image crosses the origin, then the function is () A. y=x3+6x2+9xB. y=x3-6x2-9xC. y=x3-6x2+9xD. y=x3+6x2-9x
2. If the image of a function y = 2x + B passes through (- 1,1) points, then B is equal to 3? Point (- 1,1) is a function of degree passing by y = 2x + B
3. When the function y = 3x + 2 is equal to the function y = negative 2x + 3, what is x?
4. Calculate the following function: y = 2 / x, when x ＜ 0; y = 0, when x = 0; y = 2x, when x ＞ 0. Use scanf function to input the value of X and find the value of Y Please help me solve it!
5. The function f (x) = x3-6x has a maximum and a minimum
6. Finding the maximum of function f (x) = - X-2 / X
7. If the function f (x) = x · (x-C) 2 has a maximum at x = 2, then the value of constant C is () A. 6B. 2C. 2 or 6D. 23
8. Let f (x) = the third power of X - 6x square + 9x-3, and prove that f (x) has the maximum value when x = 1 and the minimum value when x = 3
9. The maximum value of function f (x) = 2x ^ 3-6x ^ 2-18x + 7 is?
10. The known function f (x) = x Λ 3-6x Λ 2 + 9x-3 Finding the extremum of function f (x)
11. It is known that the maximum value of y = a-bcos2x (b > 0) is 3 / 2 and the minimum value (- 1 / 2). The period, the maximum value and the maximum value of y = - 4asin (3bx + Pai / 3) are obtained
12. It is known that the function f (x) = 2asin (2x-3 parts) + B defined on [0,2 parts] has the maximum value of 1 and the minimum value of - 5. The values of a and B are obtained
13. It is known that the maximum value of y = a-bcos (3x - π / 2) is 6 and the minimum value is - 2
14. Given the function f (x) = - 2 / (x-1), X ∈ {2,3}, find the maximum and minimum of the function
15. Given the function f (x) = (1 / 4 ^ x) - (1 / 2 ^ x) + 1, X ∈ [- 3,2], find the maximum and minimum of F (x)
16. Given that the sum of the maximum and minimum value of the function y = ax (A & gt; 0 and a ≠ 1) on [1,2] is 20, Let f (x) = ax + 2. (1) find the value of a; (2) prove that: F (x) + f (1-x) = 1; (3) find f (12013) + F (22013) + F (32013) + +F (20102013) + F (20112013) + F (20122013)
17. Given the function f (x) = x2 + ax + 2, find the function analytic formula of the minimum value g (a) of function f (x) in the interval [- 2,2], and get the And find the maximum value of G (a)
18. Find the minimum value of the function f (x) = x2 + ax + 3 in the interval - 1,1 The expression "includes - 1 and 1
19. If a cubic function has a maximum value of 4 at x = 1 and a minimum value of 0 at x = 3, and the tangent function image passes through the origin, then the analytic expression of this function is obtained
20. Suppose that the cubic function f (x) = ax ^ 3 + BX ^ 2 + CX + D has a maximum 4 at x = 1 and a minimum 0 at x = 3, and the function image passes through the origin, the analytic expression of this function is obtained I don't think the answer is right. I want to find a positive solution. Don't copy it,