Question 14 Find all \( x \) - and \( y \)-intercepts. Answers in nondecimal, Change of Base, and round 3 decimals. \( \begin{array}{l}y=7 \sqrt{x-5}-7 \\ \text { Use the editor to format your answer }\end{array} \) Und

To find the \( y \)-intercept, we set \( x = 0 \) in the equation \( y = 7 \sqrt{x-5} - 7 \). However, since \( \sqrt{x-5} \) is not defined for \( x < 5 \), the function does not cross the \( y \)-axis and there are no \( y \)-intercepts. Next, for the \( x \)-intercept, set \( y = 0 \): \[ 0 = 7 \sqrt{x-5} - 7 \] Solving gives: \[ 7 = 7 \sqrt{x-5} \] \[ 1 = \sqrt{x-5} \] Squaring both sides results in: \[ 1 = x - 5 \] Thus, \( x = 6 \). Therefore, the only \( x \)-intercept is \( (6, 0) \).