If a,b∈R, a≠0 and the quadratic equation ax2−bx+1=0 has imaginary roots, then (a + b + 1) is
positive
negative
zero
dependent on the sign of b
D=b2−4a<0⇒a>0
Therefore the graph is concave upwards.
f(x)>0,∀x∈R⇒ f(−1)>0⇒ a+b+1>0