`If F:Z rarr Z , and F(x)=x^2 then` (a)F(x) is one one (b)F(x) is onto (c)F(x) is bijective (d)F(x) is neither one one nor onto

81. A mapping f:R rarr R R which is defined as f(x)=cos x;x in R is: (a) oniy one-one (b) only onto (C) one-one onto (d) Neither one-one nor onto

If f:[0,oo]rarr[0,oo) and f(x)=(x)/(1+x) then f( a) one-one and onto (b)one-one but not onto (c)onto but not one-one (d)neither on-one nor onto

If f(x) = x^3 + 3x^2 + 12x - 2 sin x, where f: R rarr R, then (A) f(x) is many-one and onto (B) f(x) is one-one and onto(C) f(x) is one-one and into (D) f(x) is many-one and into

Show that the function f:R rarr R:f(x)=sin x is neither one-one nor onto

Show that the function f:R rarr R defined by f(x)= absx is neither one one nor onto

Show that the function f:R rarr R defined by f(x)=x^4+5 is neither one one nor onto

If f:N rarr N;f(x)=x-(-1)^(x) is (1) one one and into (2) Bijective (3) many one and into (4) many one and onto

f:R^(+)rarr[2,oo] and f(x)=2+3x^(2), then f(x) is (i)one-one (ii)into (iii)many-one (iv) onto

f: R rarr R,f(x)=x|x| is (A) one-one but not onto (B) onto but not one-one (C) Both one-one and onto (D) neither one-one nor onto

Show that f:R rarr R, given by f(x)=x-[x], is neither one-one nor onto.