To identify the function that is not linear, we look for a polynomial equation where the highest power of \(x\) is greater than 1 or involves terms that make it non-linear.
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9x + 3y - 18 = 0: This can be rearranged to the form \(y = -3x + 6\), which is linear.
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2x + 3y = 16: Similarly, this can be rearranged to \(y = -\frac{2}{3}x + \frac{16}{3}\), which is also linear.
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y = 16x + 23: This is in slope-intercept form, which is clearly linear.
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y = x² - 3x + 2.25: This is a quadratic equation because the highest power of \(x\) is 2, which makes it a non-linear function.
Thus, the example of a function that is not linear is:
y = x² - 3x + 2.25.