2. 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)

Here are the graphs of the functions you requested, along with their domains and ranges:

- **y = 3x + 3**: 
  - Domain (D(f)): \( \mathbb{R} \) (all real numbers)
  - Range (R(f)): \( \mathbb{R} \) (all real numbers)
  
- **y = -3x + 3**: 
  - Domain (D(f)): \( \mathbb{R} \) (all real numbers)
  - Range (R(f)): \( \mathbb{R} \) (all real numbers)
  
- **y = 2x^2**: 
  - Domain (D(f)): \( \mathbb{R} \) (all real numbers)
  - Range (R(f)): \( [0, \infty) \)
  
- **y = x^3 + 1**: 
  - Domain (D(f)): \( \mathbb{R} \) (all real numbers)
  - Range (R(f)): \( \mathbb{R} \) (all real numbers)

Do you have any questions or need further clarification?

Here are 5 related questions to explore:
1. What is the effect of changing the slope in linear functions like \( y = 3x + 3 \)?
2. How would the graph of \( y = 2x^2 \) change if we modify the coefficient of \( x^2 \)?
3. What is the significance of the y-intercept in linear functions?
4. How does the graph of \( y = x^3 + 1 \) compare to \( y = x^3 \)?
5. What would the graph of \( y = -2x^2 \) look like?

**Tip:** The domain of a polynomial function is always \( \mathbb{R} \) (all real numbers), unless stated otherwise.

2. Gambarlah grafik fungsi-fungsi dibawah ini: a. y = 3x + 3 b. y = -3x + 3 c. y = 2x^2 d. y = x^3 + 1 Tentukan D(f) dan R(f)

Explore how to graph linear, quadratic, and cubic functions such as y = 3x + 3, y = -3x + 3, y = 2x^2, and y = x^3 + 1. Learn how to determine the domain and range of these functions, perfect for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation