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KCET2014MathematicsProperties of Triangles

Which one of the following is not correct for the features of exponential function given by ( f (x)=b^ x ) where ( b >1 ? )

Options

  1. AThe domain of the function is ( R ), the set of real numbers.
  2. BThe range of the function is the set of all positive real numbers.
  3. CFor very large negative values of ( x ), the function is very close to ( 0 ).
  4. DThe point ( (1,0) ) is always on the graph of the function.

Correct answer

D. The point ( (1,0) ) is always on the graph of the function.

Step-by-step solution

Given function f(x)=b^ x Let y=b^ x (1) At x=0 , we have y=1 At x=1 , we have y=b So, (1,0) does not satisfy equation (1) Hence,option (4) is not correct

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