Which of the following exponential functions goes through the points (1, 12) and (2, 36)?

a
f(x) = 4(3)−x

b
f(x) = 3(4)−x

c
f(x) = 3(4)x

d
f(x) = 4(3)x

The function through which given point passes is f(x) = 24 x - 12 .

Step-by-step explanation:

Given as :

The points are

, = 1 , 12

, = 2 , 36

now, slope of the line

Let The slope of line = m =

Or, m =

Or, m = 24

So The slope of line = m = 24

Now, equation of line in point-slope form

y - = m × (x - )

Or, y - 12 = 24 × (x - 1 )

or, y - 12 = 24 x - 24

or, y = 24 x - 24 + 12

or, y = 24 x - 12

or , f(x) = 24 x - 12

So, The function through which given point passes is f(x) = 24 x - 12 . Answer

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the thermometer is precise but not accurate

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