Compare the function f(x)=3x-1/2 to the function shown in the graph. Which statements are correct?
Answer: B
Step-by-step explanation:
For [tex]f(x)=3x-\frac{1}{2}[/tex], comparing it with slope-intercept form yields that the slope is [tex]3[/tex] and the [tex]y[/tex]-intercept is [tex]-1/2[/tex].
For the graphed function, the slope is [tex]\frac{-4-0}{-2-6}=\frac{1}{2}[/tex] and the [tex]y[/tex]-intercept is about [tex]-3[/tex].
Since the absolute value of the slope of the graphed function is less than that of [tex]f(x)[/tex], option B is correct.
