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  • Can someone explain - Sets, Relations and Functions - JEE Main-4

What is the range of the function f(x)=\left | a^{x} \right |?

  • Option 1)

    [1,\infty )

     

     

     

  • Option 2)

    R

  • Option 3)

    R^{+}

  • Option 4)

    [0,\infty )

 

Answers (1)

best_answer

As we learned 

 

Exponential Function -

f(x)= a^{x}

base :a> 0,a\neq 1

domin:x\in R

Range:f\left ( x \right )> 0

- wherein

 

 a^{x}> 0\: \: \forall\: \: x\equiv R

Thus \left | a^{x} \right |=a^{x}

Hence   \left | a^{x} \right |> 0\; \; \; \; \forall \: \: \: x\equiv R

i.e    \left | a^{x} \right |\equiv R^{+}

 


Option 1)

[1,\infty )

 

 

 

Option 2)

R

Option 3)

R^{+}

Option 4)

[0,\infty )

Posted by

Himanshu

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