1. The problem is to analyze the function $f(x) = 2x - 1$ on the interval $[-3, 2]$. 2. This is a linear function with slope 2 and y-intercept $-1$. 3. To find the values at the interval endpoints: - At $x = -3$, $f(-3) = 2(-3) - 1 = -6 - 1 = -7$ - At $x = 2$, $f(2) = 2(2) - 1 = 4 - 1 = 3$ 4. Since the slope is positive, the function is increasing over the interval. 5. Therefore, the minimum value on $[-3, 2]$ is $-7$ at $x = -3$ and the maximum value is $3$ at $x = 2$. 6. Summary: - Domain: $[-3, 2]$ - Minimum: $f(-3) = -7$ - Maximum: $f(2) = 3$ - Linear increasing function