If f(x)=ax+b, where a and b are integers, f(-1)=-7 and f(2)=8, then a and b are equal to:

Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a strictly increasing function for all real values of x, without using the derivative.

If f(a+b-x) = f(x) , then int_a^b x f(x) dx is equal to:

Suppose that f is differentiable for all x and that f^(prime)(x)lt=2 for all x If f(1)=2 and f(4)=8 then f(2) has the value equal to (a) 3 (b) 4 (c) 6 (d) 8

Consider f(x) = sin^(-1) [2x] + cos^(-1) ( [ x] - 1) ( where [.] denotes greatest integer function .) If domain of f(x) " is " [a,b) and the range of f(x) is {c,d}" then " a + b + (2d)/c is equal to ( where c lt d )

Suppose f(x)=e^(ax)+e^(bx), where aneb and f''(x)-2f'(x)-15f(x)=0 for all x, then the value of |a+b| is equal to......

If f(x)=x-[x], where [x] is the greatest integer less than or equal to x, then f(+1/2) is:

Let f(x)=x^(3)+ax^(2)+bx+c be the given cubic polynomial and f(x)=0 be the corresponding cubic equation, where a, b, c in R. Now, f'(x)=3x^(2)+2ax+b Let D=4a^(2)-12b=4(a^(2)-3b) be the discriminant of the equation f'(x)=0 . If D=4(a^(2)-3b)gt0 and f(x_(1)).f(x_(2)) lt0" where " x_(1),x_(2) are the roots of f(x), then a. f(x) has all real and distinct roots b. f(x) has three real roots but one of the roots would be repeated c. f(x) would have just one real root d. None of the above

Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a =f (3),b=f(1)+f (3), c=f (2)+f (3), then 2A is equal to