Math Problem Statement
- Gambarlah grafik fungsi-fungsi dibawah ini : a. 𝑦 = 3𝑥 + 3 b. 𝑦 = −3𝑥 + 3 c. 𝑦 = 2𝑥2 d. 𝑦 = 𝑥3 + 1 Tentukan D(f) dan R(f)
Solution
Here are the graphs of the functions you requested, along with their domains and ranges:
-
y = 3x + 3:
- Domain (D(f)): (all real numbers)
- Range (R(f)): (all real numbers)
-
y = -3x + 3:
- Domain (D(f)): (all real numbers)
- Range (R(f)): (all real numbers)
-
y = 2x^2:
- Domain (D(f)): (all real numbers)
- Range (R(f)):
-
y = x^3 + 1:
- Domain (D(f)): (all real numbers)
- Range (R(f)): (all real numbers)
Do you have any questions or need further clarification?
Here are 5 related questions to explore:
- What is the effect of changing the slope in linear functions like ?
- How would the graph of change if we modify the coefficient of ?
- What is the significance of the y-intercept in linear functions?
- How does the graph of compare to ?
- What would the graph of look like?
Tip: The domain of a polynomial function is always (all real numbers), unless stated otherwise.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Quadratic Functions
Cubic Functions
Domain and Range
Formulas
y = mx + c (Linear function)
y = ax^2 + bx + c (Quadratic function)
y = x^3 + c (Cubic function)
Theorems
Domain and Range Theorem
Basic Properties of Polynomial Functions
Suitable Grade Level
Grades 9-12
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