(Solved): Use the graph of the function \( f \) given below to answer the List the values of \( x \) at which ...

Use the graph of the function \( f \) given below to answer the List the values of \( x \) at which \( f \) has a local questions. minimum. Select the correct choice below and in any answer boxes within your choice. A. \( x= \) (Type an integer. Use a comma to separate answers as needed.) B. There are no local minima. Determine algebraically whether the given function is even, odd, or neither. \[ f(x)=-3 x^{3}-6 x \] Neither Even Odd Determine algebraically whether the given function is even, odd, or neither. \[ g(x)=6 x^{3}+7 \] Odd Even Neither Determine algebraically whether the given function is even, odd, or neither. \[ f(x)=5 x^{2}+|3 x| \] Neither Even Odd Find the average rate of change of \( f(x)=x^{3}-4 x+6 \) over the following intervals. (a) From - 5 to \( -2 \) (b) From \( -1 \) to 4 (c) From 4 to 8 (a)The average rate of change from \( -5 \) to \( -2 \) is List the interval(s) on which \( f \) is increasing. The interval(s) on which \( f \) is increasing is/are (Type your answer in interval notation. Use a comma to separate answers as needed.)