Mathematics 1 Dersi 4. Ünite Sorularla Öğrenelim

What are the basic properties of the exponential function a^x for a >1?

1. Domain of the exponential function a^x is (-?, ?),
2. Range of the exponential function a^x is (0, ?),
3. The exponential function a^x is increasing,
4. As x goes to minus infinity, a^x approaches zero.

For a > 1, what fundamental properties does the logarithmic function log_a x have?

1. Domain of the logarithmic function loga x is (0, ?)
2. Range of the logarithmic function log_a x is (-?, ?)
3. log_a x is an increasing function.

For 0 < a < 1, what fundamental properties does the logarithmic function log_a x have?

1. Domain of the logarithmic function log_a x is (0, ?),
2. Range of the logarithmic function log_a x is (-?, ?),
3. log_a x is a decreasing function.

What is natural logarithmic function?

The logarithmic function with base e is called the natural logarithmic function and is denoted by lnx = log_e x, x > 0

What is common logarithmic function?

The logarithmic function with base 10 is called the common logarithmic function.