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Question 1
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

1 answer

To determine which one is NOT a linear function, we need to identify which of the responses does not represent a linear equation.

  1. 3X = 9: This can be rewritten to find \( X \), and it represents a vertical line (a constant output for all inputs, which is a linear function).

  2. 2x² - 6 = 11: This can be rearranged to \( 2x² = 17 \) or \( x² = 8.5 \). This represents a quadratic function (since it contains \( x² \)), not a linear function.

  3. 10 - 4X = 7: This can also be rearranged to find \( X \) and represents a linear function.

  4. Y = 9X: This is a linear function in slope-intercept form.

Thus, the answer is: 2x² − 6 = 11 is NOT a linear function.