Graph of `y = f(x)` is as shown in the following figure.

Find the roots of the following equations
`f(x) = 0`
`f(x) = 4`
` f(x) = x + 2`

The graph of y=f(x) is as shown in the following figure. Draw the graph of y=[f(x)] .

Following is the graph of y = f(x). Find the roots of the equation f(x) = 0, f(x) = 4 and f(x) = 10 .

Consider the graph of y = f(x) as shown in the following figure. (i) Find the sum of the roots of the equation f (x) = 0. (ii) Find the product of the roots of the equation f(x) = 4. (iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .

The graph of y = f(x) is as shown in the following figure. Find the following values (i) f(-3)" "(ii) f(-2)" "(iii) f(0) (iv) f(2)" "(v) f(3)" "(vi) lim_(x to -3) f(x) (vii) lim_(x to 0) f(x)" "(viii)lim_(x to 2) f(x)" "(ix) lim_(x to 3) f(x) (x) lim_(x to 2^(-)) f(x)" "(x i)lim_(x to -2^(+)) f (x)" "(x ii)lim_(x to 0^(-)) f(x) (x iii) lim_(x to 0^(+)) f(x)

Find the root of the equation of the linear polynomial f(x) = 2x + 3.

Graph of y=f(x) and y=g(x) is given in the following figure. If h(x)= f(g(x)) , then find the value of h'(2) .

If the graph of y=|f(x)| is as shown in figure then the graph of y=f(x) may be

The graph of y = f(x) is shown, find the number of solution of f(f(x)) = 2.

If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, then which of the following is true? (a) f(x+1)=f(x) (b) f(x+3)=f(x) (c) f(x+2)=f(x) (d) None of these

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?