The graph of y = f(x) is shown, find the number of solution of f(f(x)) = 2.
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The graph of the function y=f(x) is shown. Find the number of solutions to the equation ||f(x)|-1|=(1)/(2) .

Consider a differentiable function f:R->R for which f'(0)=ln2 and f(x + y) = 2^x f(y) + 4^y f(x) AA x, y in R which of the following is /are correct? (a) f(4)=240 (b) f prime (2)=24 ln 2 (c) The minimum value of y-f(x) is -1/4 (d) the number of solutions of f(x)=2 is 1

The graph of y = f (x) is shown in the xy -plane. What is the value of f (0) ?

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

The graph of y = f(x) is shown to the right. If f(-1) = v , then which one of the following could be the value of f(v) ?

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

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 Fig Graph of y=f(x) may be a, b, c d is fig

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)" "(xi)lim_(x to -2^(+)) f (x)" "(x ii)lim_(x to 0^(-)) f(x) (x iii) lim_(x to 0^(+)) f(x)

The graph y = f (x) is as shown: The graph of y = f (–|x|) is: