Choose ,begin emphasis,all,end emphasis, of the functions that are ,begin emphasis,NOT,end emphasis, linear.

Question

Answer options with 5 options
1.
y equals 5 left-parenthesis 2 x minus 1 right-parenthesis

2.
y equals x left-parenthesis 3 minus x right-parenthesis

3.
y equals negative 2 x plus 4

4.
y equals StartFraction 1 over 3 x EndFraction minus 5

5.
y equals 5

Answer 1

The functions that are NOT linear from the given options are:

1. \( y = x(3 - x) \) (This is a quadratic function)

The remaining functions are linear:

• \( y = 5(2x - 1) \)
• \( y = -2x + 4 \)
• \( y = \frac{1}{3}x - 5 \)
• \( y = 5 \)

So, the only function that is NOT linear is option 2.