Answer:
f(x) = 3·2^x
Explanation:
When x=0, any exponential term will have a value of 1, so the y-intercept is the multiplier of the exponential function. Here, it is 3.
When x=1, the exponential term will have a value equal to its base, so the multiplier just found will be multiplied by the base value. Here, f(1) = 3·2, so the base of the exponential term is 2.
Given these considerations, the function is ...
... f(x) = 3·2^x
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Comment on notation
The caret (^) is used to signify an exponent. When the exponent consists of anything other than a single number or variable, it must be put in parentheses: 2^(1/2), for example.
The expressions you have written all look like linear functions.