Evaluate the function rule for the given value. Y=12•3^x for x=-2
To evaluate the function rule y = 12 * 3^x for x = -2, we substitute x = -2 into the function and simplify.
y = 12 * 3^(-2)
We can rewrite 3^(-2) as 1/3^2 or 1/9.
y = 12 * 1/9
Multiplying 12 by 1/9, we get:
y = 12/9
Simplifying 12/9 yields:
y = 4/3 or 1 1/3