The table of values shown is for some linear function f(x). Find f(10).
`{:(x,y),(-2,-11),(-1,-7),(0,-3),(1,1):}`

f: Z to Z is a linear function defined by f={(1,1),(0,-1),(2,3)} , find f(x)

Let f={(-1, 3}, (0, -1), (2, -9)} be linear function from Z into Z. Find f(x).

Use the following table and the fact that f (x) is invertible and differentiable everywhere to find (f ^(-1)(3))': {:(x, f (x), f '(x)),(3,1,7),(6,2,10),(9,3,5):}

Use the following table and the fact that f (x) is invertible and differentiable everywhere to find (f ^(-1)(3))': {:(x, f (x), f '(x)),(3,1,7),(6,2,10),(9,3,5):}

Find the absolute maximum value and minimum value of the function. f(x)=12x^(4/3)-6x^(1/3), x in [-1,1]

The differentiable function y= f(x) has a property that the chord joining any two points A (x _(1), f (x_(1)) and B (x_(2), f (x _(2))) always intersects y-axis at (0,2 x _(1)x _(2)). Given that f (1) =-1. then: In which of the following intervals, the Rolle's theorem is applicable to the function F (x) =f (x) + x ? (a) [-1,0] (b) [0,1] (c) [-1,1] (d) [0,2]

A real valued function satisfies the relation f(x+y)=f(x)+f(y)+(e^x-1)(e^y-1) , AAx,y in R . If f'(0) = 2, find f(x).

Find 'c' of the mean -value theorem for the functions (i) f(x) = 2x^(2) - 10x + 29 " in " [2, 7] (ii) f(x) = x ( x -1) (x -2) " in " [0, (1)/(2)]