Question

complete the input-output table for the function $y = 3^x$.

Explanation:

Step1: Find the value of \(a\)

We know the function is \(y = 3^{x}\). When \(x = 3\), we substitute \(x\) into the function:
\(y=3^{3}\)
\(3^{3}=3\times3\times3 = 27\), so \(a = 27\).

Step2: Find the value of \(b\)

When \(x = 4\), we substitute \(x\) into the function \(y = 3^{x}\):
\(y = 3^{4}\)
\(3^{4}=3\times3\times3\times3=81\), so \(b = 81\).

Answer:

\(a = 27\), \(b = 81\)