Home
Class 12
MATHS
Determine whether the functionf:R to (0,...

Determine whether the function`f:R to (0,oo)` defined by `f(x) = 2^(x)`
is one one (or) onto (or) bijection.

Text Solution

Verified by Experts

The correct Answer is:
f is both one one and onto, hence bijective.
Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Matrices)|58 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Addition of vectors)|26 Videos

  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos

  • IPE-MARCH-2016[TS]

    SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 Videos

Similar Questions

Explore conceptually related problems

Determine whether the function f:R to [0,oo) defined by f(x)=x^(2) is one one (or)onto (or)bijection.

Determine whether the function f: R to R definded by f(x) = (2x+1)/(3) is one one (or) onto (or) bijection.

Determine whether the function f:R to R defined by f(x) = x^(2) is one one (or) onto (or) bijection.

Determine whether the function f:(o,oo) to R defined by f(x) log_(e)x is one one (or)onto (or)bijection.

f : R to (0, oo) defined by f (x) = 2 ^(x) . then f ^-1(x)

f : R to (0, oo) defined by f (x) = 5 ^(x). then f ^-1(x)

The function f: R to R defined by f(x) =x-[x], AA x in R is