We can determine the value of f(x) for each of the given functions at x = 2:
For f(x) = 4 * (1/2) ^ x:
f(2) = 4 * (1/2) ^ 2
f(2) = 4 * (1/4)
f(2) = 1
For f(x) = 4 * (1/2) ^ (x - 1) - 2:
f(2) = 4 * (1/2) ^ (2 - 1) - 2
f(2) = 4 * (1/2) ^ 1 - 2
f(2) = 4 * (1/2) - 2
f(2) = 2 - 2
f(2) = 0
For f(x) = 4 * 2 ^ x:
f(2) = 4 * 2 ^ 2
f(2) = 4 * 4
f(2) = 16
For f(x) = 3 * 2 ^ (x - 2) + 2:
f(2) = 3 * 2 ^ (2 - 2) + 2
f(2) = 3 * 2 ^ 0 + 2
f(2) = 3 * 1 + 2
f(2) = 3 + 2
f(2) = 5
Therefore, the value of f(x) at x = 2 for each of the given functions is:
- f(x) = 4 * (1/2) ^ x: 1
- f(x) = 4 * (1/2) ^ (x - 1) - 2: 0
- f(x) = 4 * 2 ^ x: 16
- f(x) = 3 * 2 ^ (x - 2) + 2: 5
The function that correctly represents the given point is f(x) = 4 * (1/2) ^ x, where f(2) = 1.
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班
f(x) = 4 * (1/2) ^ x
Select a Value
f(x) = 4 * (1/2) ^ (x - 1) - 2
f(x) = 4 * 2 ^ x
f(x) = 3 * 2 ^ (x - 2) + 2
f(x) = 4 * (1/2) ^ x
1 answer