Which of the following exponential functions goes through the points (1, 12) and (2, 36)?
1 answer:
Answer:
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
<u>Now, equation of line in point-slope form</u>
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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