Mathematics 1 Dersi 4. Ünite Sorularla Öğrenelim

Exponential And Logarithmic Functions
Açıköğretim ders notları öğrenciler tarafından ders çalışma esnasında hazırlanmakta olup diğer ders çalışacak öğrenciler için paylaşılmaktadır. Sizlerde hazırladığınız ders notlarını paylaşmak istiyorsanız bizlere iletebilirsiniz.
Açıköğretim derslerinden Mathematics 1 Dersi 4. Ünite Sorularla Öğrenelim için hazırlanan ders çalışma dokümanına (ders özeti / sorularla öğrenelim) aşağıdan erişebilirsiniz. AÖF Ders Notları ile sınavlara çok daha etkili bir şekilde çalışabilirsiniz. Sınavlarınızda başarılar dileriz.
Exponential And Logarithmic Functions
What are the basic properties of the exponential function ax for a >1?
1. Domain of the exponential function ax is (-?, ?),
2. Range of the exponential function ax is (0, ?),
3. The exponential function ax is increasing,
4. As x goes to minus infinity, ax approaches zero.
For a > 1, what fundamental properties does the logarithmic function loga x have?
1. Domain of the logarithmic function loga x is (0, ?)
2. Range of the logarithmic function loga x is (-?, ?)
3. loga x is an increasing function.
For 0 < a < 1, what fundamental properties does the logarithmic function loga x have?
1. Domain of the logarithmic function loga x is (0, ?),
2. Range of the logarithmic function loga x is (-?, ?),
3. loga 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 = loge x, x > 0
What is common logarithmic function?
The logarithmic function with base 10 is called the common logarithmic function.
What are the basic properties of the exponential function ax for a >1?
1. Domain of the exponential function ax is (-?, ?),
2. Range of the exponential function ax is (0, ?),
3. The exponential function ax is increasing,
4. As x goes to minus infinity, ax approaches zero.
For a > 1, what fundamental properties does the logarithmic function loga x have?
1. Domain of the logarithmic function loga x is (0, ?)
2. Range of the logarithmic function loga x is (-?, ?)
3. loga x is an increasing function.
For 0 < a < 1, what fundamental properties does the logarithmic function loga x have?
1. Domain of the logarithmic function loga x is (0, ?),
2. Range of the logarithmic function loga x is (-?, ?),
3. loga 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 = loge x, x > 0
What is common logarithmic function?
The logarithmic function with base 10 is called the common logarithmic function.