How do you create an (x,y) table for $y=\frac{3}{4} \cdot 6^{-x}$ ?

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Answer 1 · 2018-08-03T02:16:18

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Please read the explanation.

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Use the exponent rule: $color(red)(a^(-b)=1/(a^b)$

We can write $color(blue)(6^(-x)$ as $color(blue)(1/(6^x)$

$color(red)(6^x$ is an exponential function.

Now, we will work on

$color(red)(y=f(x)=\frac{3}{4} \cdot 1/6^{x}$

We need to create a data table for this function:

Choose a format appropriate to display fractions.

We will split the expression and use them in the columns.

enter image source here

We can display the table as $color(red)(["x-y"]$ table, by choosing the first and the last column from the table above:

enter image source here

Hope it helps.

How do you create an (x,y) table for y=\frac{3}{4} \cdot 6^{-x}y=\frac{3}{4} \cdot 6^{-x}?