A function h is defined as follows :
for `x gt 0, h(x)=x^(7)+2x^(5)-12x^(3)+15x-2`
for `x le0, h(x)=x^(6)-3x^(4)+2x^(2)-7x-5`
What is the value of `h(-1)`?

h(x)=2^x The function h is defined above. What is h(5) − h( 3) ?

f(x)=3x^(10)7x^(8)+5x^(6)-21x^(3)+3x^(2)7, then is the value of lim_(h rarr0)(f(1-h)-f(1))/(h^(3)+3h) is

Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le 0 =6x+5x^(2), x gt 0 then at x=0 ,f(x)

Which of the following is an odd function? I. f(x)=3x^(3)+5 II. g(x)=4x^(6)+2x^(4)-3x^(2) III. h(x)=7x^(5)-8x^(3)+12x

Let a function of 2 variables be defined by h(x, y)=x^(2)+3xy-(y-x) , what is the value of h(5, 4) ?

Show that the function f defined as follows, is continuoius at x=2, but not differentiable at x=2. f(x)={{:(3x-2, 0 lt x le 1),(2x^(2)-x, 1 lt x le 2),(5x-4,x gt 2):} .

g(x)=2x-1 h(x)=1-g(x) The functions g and h are defined above. What is the value of h(0) ?