Home
Class 12
MATHS
If f(x)=a^(x), a gt 0, then f is...

If `f(x)=a^(x), a gt 0`, then f is

A

continuous for all `x in R^(+)`

B

continuous for all `x in R^(-)`

C

continuous for all ` x in R`

D

discontinuous for all ` x in R`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

The range of f(x) =a^(x) ," where " a gt 0 is

If a differentiable function f defined for x gt0 satisfies the relation f(x^(2))=x^(3),x gt 0 , then what is the value of f'(4)?

A function f is defined by f(x^(2) ) = x^(3) AA x gt 0 then f(4) equals

Let f(x)=a^(x)(a gt 0) be written as f(x)=f_(1)(x)+f_(2)(x), " where " f_(1)(x) is an function and f_(2)(x) is an odd function. Then f_(1)(x+y)+f_(1)(x-y) equals

Let :(0,oo)rarr R and F(x)=int_0^x t f(t) dt If F(x^2)=x^4+x^5,x > 0 then (i) F(4)=7 (ii) f(x) is continuous everywhere (iii) f(x) is increasing for x gt 0 (iv) f(x) is onto

let f(x) = {:{( x^(2) , x le 0) , ( ax , x gt 0):} then f (x) is derivable at x = 0 if

Given f(x)=1/sqrt(x), x gt 0 , find f^(')(x) by delta method.

Given the function f(x) = x^(2) e^(-2x), x gt 0 . Then f(x) has the maximum value equal to