Question

Complete the missing parts of thetable for the following function,y = (*)*xlike-2 -1y [?] 70 1[ ] 12131343

Answer 1

We have to find the missing parts of the table for the function:

$y=(\frac{1}{7})^x$

This will be done by replacing each x-value onto the function.

For x=-2

We obtain:

$y=(\frac{1}{7})^{-2}=(\frac{7}{1})^2=7^2=49$

This means that for x=-2, the value of y is 49.

For x=0

As every number (except 0) elevated to 0 is 1, we have

$y=(\frac{1}{7})^0=1$

This means that for x=0, the value of y is 1.

For x=2

$y=(\frac{1}{7})^2=\frac{1^2}{7^2}=\frac{1}{49}$

This means that for x=2, the value of y is 1/49.