I need some help with these 2 questions, thank you

a) For this case, sketch the graph of a continuous function f(x) such that

f(0)=0, f"(x)>0 for x<0, f"(x)< 0 for x>o, lim f'(x)= +infinity (x approaches 0-) and lim f'(x)= +infinity (appraches 0+)

what would the graph look like?

b) For what real number values of 'p' does the equation

p=3x-9have 2 real solutions (algebraically)

x2-x-2