Question

1. which equation represents a linear function?

○ $y = 2^x$
○ $y = x^2 + 3x + 2$
○ $y = x^3 - 1$
○ $y = 3x + 2$

Explanation:

Step1: Recall linear function form

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

Step2: Analyze each option

• $y=2^x$: Exponential function, not linear.
• $y=x^2+3x+2$: Quadratic (power of $x$ is 2), not linear.
• $y=x^3-1$: Cubic (power of $x$ is 3), not linear.
• $y=3x+2$: Matches $y=mx+b$ with $m=3$, $b=2$.

Answer:

D. $y = 3x + 2$