In how many points the graph of `f(x)=x^3+2x^2+3x+4` meets the x-axis ?

In how many points graph of y=x^3-3x^2+5x-3 intersect the x-axis?

Following is the graph of y = f' (x) , given that f(c) = 0. Analyse the graph and answer the following questions. (a) How many times the graph of y = f(x) will intersect the x - axis? (b) Discuss the type of roots of the equation f (x) = 0, a le x le b . (c) How many points of inflection the graph of y = f(x), a le x le b , has? ,(d) Find the points of local maxima/minima of y = f(x), a le x le b , , (e) f"(x)=0 has how many roots?

Draw the graph of f(x)=(1)/(x^(2)-2x+2) .

Draw and discuss the graph of f(x) = x^(2//3)-x^(4//3)

Draw the graph of f(x)=(5x^(2))/((x-1)^(3)) .

Draw the graph of f(x) = (x^(3)-x)/(x^(2)-1) .

Discuss the extremum of f(x)=2x+3x^(2/3)

The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the x-axis at the point -

If f(x)=3x^2-x+1 , then find f(-2) .