KCET · Maths · Properties of Triangles
Which one of the following is not correct for the features of exponential function given by
\( \mathrm{f}(x)=b^{x} \) where \( \mathrm{b}>1 ? \)
- A The domain of the function is \( R \), the set of real numbers.
- B The range of the function is the set of all positive real numbers.
- C For very large negative values of \( x \), the function is very close to \( 0 \).
- D The point \( (1,0) \) is always on the graph of the function.
Answer & Solution
Correct Answer
(D) The point \( (1,0) \) is always on the graph of the function.
Step-by-step Solution
Detailed explanation
Given function \(f(x)=b^{x}\)
Let \(y=b^{x} \rightarrow(1)\)
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
Let \(y=b^{x} \rightarrow(1)\)
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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