Question
Which one is NOT a linear function?(1 point)
Responses
3X=9
3X=9
2x2 − 6 =11
2x2 − 6 =11
10-4X = 7
10-4X = 7
Y= 9X
Responses
3X=9
3X=9
2x2 − 6 =11
2x2 − 6 =11
10-4X = 7
10-4X = 7
Y= 9X
Answers
GPT-4o mini
To determine which expression is NOT a linear function, let's analyze each option:
1. **3X = 9**: This can be rearranged to the form \(X = 3\), which is a vertical line (not a function in the typical sense because it does not pass the vertical line test).
2. **2x² - 6 = 11**: Rearranging gives \(2x² = 17\) or \(x² = 8.5\). This is a quadratic equation, which represents a parabolic curve, not a linear function.
3. **10 - 4X = 7**: Rearranging gives \(4X = 3\) or \(X = \frac{3}{4}\), which is a horizontal line. This can be considered a function.
4. **Y = 9X**: This is clearly a linear function in slope-intercept form (Y = mx + b).
Based on this analysis, the option that is NOT a linear function is:
**2x² − 6 = 11**.
1. **3X = 9**: This can be rearranged to the form \(X = 3\), which is a vertical line (not a function in the typical sense because it does not pass the vertical line test).
2. **2x² - 6 = 11**: Rearranging gives \(2x² = 17\) or \(x² = 8.5\). This is a quadratic equation, which represents a parabolic curve, not a linear function.
3. **10 - 4X = 7**: Rearranging gives \(4X = 3\) or \(X = \frac{3}{4}\), which is a horizontal line. This can be considered a function.
4. **Y = 9X**: This is clearly a linear function in slope-intercept form (Y = mx + b).
Based on this analysis, the option that is NOT a linear function is:
**2x² − 6 = 11**.