Consider fig and be three real valued differentiable functions deR. Let (w) - ** (1) *** (8 (1)-(1)-1)*.301).**.and / () - (h(x)) where h(0) - 1.7. The function y=f(x) has:(a) Exactly one local minima and no local maxima(b) Exactly one local maxima and no local minima(c) Exactly one local maxima and two local minima(d) Exactly two local maxima and one local minima8. Which of the following is/are true for the function y = g(x)?(-2-)(2-18 -(a) g(x) monotonically decreases in -- 2 -231(b) g(x) monotonically increases in 213(c) There exists exactly one tangent to y = g(x) which is parallel to the chordjoining the points (1, g(1) and (3, g(3)(d) There exists exactly two distinct Lagrange's mean value in (0.4) for thefunction y = g(x).9. Which one of the following does not hold good for y = h)?(a) Exactly one critical punt(b) No point of inflection(c) Exactly one real zero in (0,3)(d) Exactly one tangent parallel to r-axis​