Math Problem Statement
Solution
To match the types of functions in the table with their corresponding names:
Вид функции | Название |
---|---|
Б: степенная | |
В: показательная | |
Г: обратная пропорциональность | |
А: линейная |
Explanation:
- : This is a power function (степенная функция) where is the power of . Hence, it matches Б.
- : This is an exponential function (показательная функция), where and . Hence, it matches В.
- : This is an inverse proportionality (обратная пропорциональность) because appears in the denominator. Hence, it matches Г.
- : This is a linear function (линейная функция) because it follows the form . Hence, it matches А.
Final Matching:
1 → Б
2 → В
3 → Г
4 → А
Let me know if you need further clarification!
Related Questions:
- What are the general forms of power and exponential functions?
- How do linear and inverse proportional functions differ visually?
- What are real-life applications of exponential functions?
- How do you graph the function ?
- What is the difference between exponential growth and linear growth?
Tip:
To identify a function type, look at the position of : in power functions, is the base; in exponential functions, is the exponent.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions and Graphs
Formulas
Power function: y = x^n
Exponential function: y = a^x
Inverse proportionality: y = -k/x
Linear function: y = kx + b
Theorems
-
Suitable Grade Level
Grades 9-11
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