hat is the output of the function \( y=2^{r}+4 \) if the input is -2 ? Use the on-screen keyboard to enter your answe

To find the output of the function \( y = 2^{r} + 4 \) when the input \( r = -2 \), we simply substitute -2 for \( r \): \[ y = 2^{-2} + 4 \] Calculating \( 2^{-2} \): \[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \] Now, plugging that back into the equation: \[ y = \frac{1}{4} + 4 \] To add \( \frac{1}{4} \) and \( 4 \), we can write \( 4 \) as \( \frac{16}{4} \): \[ y = \frac{1}{4} + \frac{16}{4} = \frac{17}{4} \] Thus, the output of the function when the input is -2 is \( \frac{17}{4} \) or 4.25.