Question

Fill in the missing coordinate pair so that the pair is a solution to the equation y=3^x

Answer 1

(3, -27), (-2, -1/9), (-1, -1/3), (6, -729)

Explanation:

The number of minus signs in the problem makes it somewhat tricky. Every y-value will be negative. Negative x-values will result in a fraction for the y-value, where the denominator is the positive power of 3.

Relevant powers of 3 are ...

• 3^1 = 3
• 3^2 = 9
• 3^3 = 27
• 3^6 = 729

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The missing y-values are ...

-3^3 = -27

-3^-1 = -1/3

The missing x-values are ...

-1/9 = -3^(-2) . . . x = -2

-729 = -3^6 . . . x = 6

__

The completed ordered pairs are ...

(3, -27), (-2, -1/9), (-1, -1/3), (6, -729)

Answer 2

-27

Explanation:

The 3, an x value, is an input. We can put it into the equation given to solve.

-> We can also graph it, see attached.

y =
`-3^(x)`

y =
`-3^(3)`

y = -27

-> 3 * 3 = 9, 9 * 3 = 27, then we take the negative into account giving us -27

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather