6. The function \( g \) is defined as \( g ( x ) = - ( x + 5 ) ^ { 2 } + 10 \) and is graphed as shown. Which of the following statements are true? Select all that apply. (2 pts) 

a. \( g ( x ) \) has one real roots. 

b. \( g ( x ) \) increases on the interval \( ( - \infty , 10 ) \) 

c. The range \( y \leq 10 \) 

d. The graph is concave down. e. The average rate of change from \( x = - 10 \) to \( x = - 5 \) is \( - 5 \) f. The axis of symmetry is \( x = - 5 \) .