Question

1. fill in the missing coordinate in each ordered pair so that the pair is a solution of $y = -3^x$. 11a \\(\left(4, -81\

ight)\\) 3 well on track! 11b \\(\left(-2, -\frac{1}{9}\
ight)\\) 5 you got it! 11c \\(\left(-1, \boxed{?}\
ight)\\)

Explanation:

Step1: Substitute x = -1 into the equation

We have the equation \( y = -3^{x} \). Substitute \( x = -1 \) into this equation.

Step2: Calculate \( 3^{-1} \)

Recall the rule of negative exponents: \( a^{-n}=\frac{1}{a^{n}} \). So \( 3^{-1}=\frac{1}{3^{1}}=\frac{1}{3} \).

Step3: Find the value of y

Since \( y = -3^{-1} \), and \( 3^{-1}=\frac{1}{3} \), then \( y = -\frac{1}{3} \).

Answer:

\(-\frac{1}{3}\)