Step 1 :Given the function \(y=5^{x}\), we are asked to find the output values for the input values 1, 2, 3, 4, and 5.
Step 2 :Substitute each input value into the function and calculate the result.
Step 3 :For \(x=1\), \(y=5^{1}=5\)
Step 4 :For \(x=2\), \(y=5^{2}=25\)
Step 5 :For \(x=3\), \(y=5^{3}=125\)
Step 6 :For \(x=4\), \(y=5^{4}=625\)
Step 7 :For \(x=5\), \(y=5^{5}=3125\)
Step 8 :\(\boxed{The missing output values for the table are 5, 25, 125, 625, 3125}\)