KCET2024MathematicsBasics of Mathematics
Which one of the following observations is correct for the features of logarithm function to any base b 1 ?
Options
- AThe domain of the logarithm function is R , the set of real numbers.
- BThe range of the logarithm function is R⁺ , the set of all positive real numbers.
- CThe point (1,0) is always on the graph of the logarithm function.
- DThe graph of the logarithm function is decreasing as we move from left to right.
Correct answer
C. The point (1,0) is always on the graph of the logarithm function.
Step-by-step solution
Domain R⁺ and range R and graph of the logarithm function is increasing. So, point (1,0) is always on the graph of logarithm function.