f(x)=x2+9x(a) State the domain off(x).(Enter your answer using interval notation.)(,0)(0,)(b) State the y-intercept off(x).(If an answer does not exist, enter DNE.)DNE(c) State the open interval(s) wheref(x)is increasing. (Enter your answer using interval notation.)(,3)(3,)(d) State the open interval(s) wheref(x)is decreasing. (Enter your answer using interval notation.)(e) State any points wheref(x)has a local maximum. (If an answer does not exist, enter DNE.)(x, y)=(f) State any points wheref(x)has a local minimum. (If an answer does not exist, enter DNE.)(x, y)=DNE(g) State the open interval(s) wheref(x)is concave up.(Enter your answer using interval notation.)(,3)(3,)(h) State the open interval(s) wheref(x)is concave down. (Enter your answer using interval notation.)(3,0)(0,3)(i) State any inflection points off(x).(If an answer does not exist, enter DNE.)(x, y)=DNE(j) State any vertical asymptotes off(x).(Enter your answer as a comma-separated list of equations. If an answer does not exist, enter DNE.)0