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Monica [59]
3 years ago
11

Y=f(x)=(1/6)^x find f(x) when x=1/4

Mathematics
2 answers:
natka813 [3]3 years ago
6 0

( − 12 , 2 ) ( − 10, 4 ) ( 12 , 4 ) ( − 3 ,4 ) ( − 12 , 16 ) ( − 12 , − 4 )

Explanation:

1: Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value ( 4 ) and divide it by 2 to get  2 .  Therefore, the new point is  ( − 12 , 2 )  

2: Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value ( − 12 ) to get  − 10 .

Therefore, the new point is  ( − 10 , 4 )  

3: Making the input of the function negative will multiply every x-value by  − 1 . To get the new point, we will take the x-value (− 12 ) and multiply it by  − 1  to get  12 .  Therefore, the new point is  ( 12 , 4 )

4: Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value ( − 12 ) by  4  to get  − 3

.  Therefore, the new point is  − 3 , 4 )  5:  Multiplying the whole function by  4  increases all y-values by a factor of  4 , so the new y-value will be  4  times the original value ( 4 ), or  16 .  Therefore, the new pointis (− 12 , 16 )  6:  Multiplying the whole function by  − 1  also multiplies every y-value by  − 1 , so the new y-value will be  − 1  times the original value ( 4 , or  − 4 . ) Therefore, the new point is  ( −12 , − 4 )

i hope this helps

SashulF [63]3 years ago
5 0
I think it is 0.64..
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