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^3-3x2+5x-3 interest 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 lt x b . (e) How many roots equation f''(x) = 0 has?

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)

Sketch the graph of y = (3x)/(x^(2) - 4)

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

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

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

Find how many roots of the equations x^4+2x^2-8x+3=0.

How many roots of the equation 3x^4+6x^3+x^2+6x+3=0 are real ?