Question

17/22
which equations represent nonlinear functions? select all that apply.
select all correct options
$y= 3x-4$
$y=9x^2+7x$
$y=x$
$y=2x^3$
$2x^2=y+4$

Explanation:

Step1: Define linear function

A linear function has the form $y=mx+b$, where the highest power of $x$ is 1.

Step2: Analyze each equation

• $y=3x-4$: Highest $x$ power is 1 (linear)
• $y=9x^2+7x$: Highest $x$ power is 2 (nonlinear)
• $y=x$: Highest $x$ power is 1 (linear)
• $y=2x^3$: Highest $x$ power is 3 (nonlinear)
• $2x^2=y+4$ (rewrite to $y=2x^2-4$): Highest $x$ power is 2 (nonlinear)

Answer:

B. $y=9x^2+7x$
D. $y=2x^3$
E. $2x^2=y+4$