Determine the \( x \) - and \( y \)-intercepts for the given function. Wr \[ q(x)=|x|-9 \] If there is more than one answer, separate your answers witl

To find the \( x \)- and \( y \)-intercepts of the function \( q(x) = |x| - 9 \), follow these steps: ### \( y \)-Intercept The \( y \)-intercept occurs where \( x = 0 \). \[ q(0) = |0| - 9 = 0 - 9 = -9 \] **\( y \)-Intercept:** \( (0, -9) \) ### \( x \)-Intercepts The \( x \)-intercepts occur where \( q(x) = 0 \). \[ |x| - 9 = 0 \\ |x| = 9 \] This equation has two solutions: \[ x = 9 \quad \text{and} \quad x = -9 \] **\( x \)-Intercepts:** \( (9, 0) \), \( (-9, 0) \) --- **Summary:** - **\( y \)-intercept:** \( (0, -9) \) - **\( x \)-intercepts:** \( (9, 0) \), \( (-9, 0) \)