Giving out brainliest! which of the following exponential functions goes through the points (1, 12) and (2, 36)? f(x) = 4(3)−x f(x) = 3(4)−x f(x) = 3(4)x f(x) = 4(3)x

When the x-value has increased by 1 unit, the y-value has multiplied by 3, so we expect a function of the form (something)×(3^x). The last choice has that.

... f(x) = 4(3)^x

You can always evaluate the offered choices at the given points to see which of them works. The second point (2, 36) will tell you the fastest.

4·3^-2 = 4/9 ≠ 36 . . . . . you can tell at this point you don't want -x as the exponent

3·4^-2 = 3/16 ≠ 36

3·4^2 = 48 ≠ 36

4·3^2 = 36 = 36 . . . . this is the one you want

∞ this is your sign

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step-by-step explanation: