Which one is NOT a linear function?(1 point)

Question

Responses

3X=9
3X=9

2x2 − 6 =11
2x2 − 6 =11

10-4X = 7
10-4X = 7

Y= 9X

Answer 1

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.