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

#" "#
Please read the explanation.

#" "#
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.

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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.