Question

Complete the missing parts of thetable for the following function.y = 7X-2 -11 1y?]70 1 2 3[ ] 7 [ ] 343

Answer 1

We are given the function

`y=7^x`

To complete the missing values of the table, we simply replace the value of x for each empty space of the table.

IN this case, we are missing the value of y when x=2. So, we calculate it as follows

`y=7^2=49`

So the value of y when x=2 is 49.

Now we calculate it for x=0. We get

`y=7^0=1`

THen the value of y when x=0 is 1.

Finally we want to check the value of y when x=-2. We have that

`y=7^{\text{ -2}}^{}^{}`

Recall that given a non zero number a and a number b, we have that

`a^{\text{ -b}}=(1)/(a^b)`

IN this case we have a=7 and b=2, so we ge t

`y=7^{\text{ -2}}=(1)/(7^2)=(1)/(49)`

This means that the missing value, when x=-2, is 49