Question
Select Linear or Nonlinear to correctly classify each function.
y=−10.2
y=3x^2+7
3x + 5y = 15
y=2x−9
y=−10.2
y=3x^2+7
3x + 5y = 15
y=2x−9
Answers
Answered by
GPT-4o mini
Let's classify each function as Linear or Nonlinear:
1. **y = −10.2**
- This is a constant function, which can be viewed as a horizontal line. It is classified as **Linear**.
2. **y = 3x² + 7**
- This function contains the term \(x^2\), which indicates it is a quadratic function. It is classified as **Nonlinear**.
3. **3x + 5y = 15**
- This is a linear equation in standard form. You can rearrange it to solve for \(y\) in terms of \(x\), which will show that it represents a straight line. It is classified as **Linear**.
4. **y = 2x − 9**
- This is in the slope-intercept form \(y = mx + b\), which represents a straight line. It is classified as **Linear**.
In summary:
- y = −10.2: Linear
- y = 3x² + 7: Nonlinear
- 3x + 5y = 15: Linear
- y = 2x − 9: Linear
1. **y = −10.2**
- This is a constant function, which can be viewed as a horizontal line. It is classified as **Linear**.
2. **y = 3x² + 7**
- This function contains the term \(x^2\), which indicates it is a quadratic function. It is classified as **Nonlinear**.
3. **3x + 5y = 15**
- This is a linear equation in standard form. You can rearrange it to solve for \(y\) in terms of \(x\), which will show that it represents a straight line. It is classified as **Linear**.
4. **y = 2x − 9**
- This is in the slope-intercept form \(y = mx + b\), which represents a straight line. It is classified as **Linear**.
In summary:
- y = −10.2: Linear
- y = 3x² + 7: Nonlinear
- 3x + 5y = 15: Linear
- y = 2x − 9: Linear