<h2>
Answer:</h2>
The correct statement is: Option: C
C. The slope of the first equation is not graphed the right way.
<h2>
Step-by-step explanation:</h2>
The piecewise function is given by:
f(x)= 3x+1 if x<2
and 4 if 2≤x<5
- This means that the graph of a function in the interval (-∞,2) is a line with a positive slope i.e. 3 and hence is a increasing line.
Also, there is a open circle at (2,7)
( since the inequality is strict i.e. x<2)
- Also, there is a horizontal line i.e. y=4 in the interval [2,5)
i.e. there is a open circle at (5,4).
But the graph which is plotted for x<2
The slope of a line is: 1/3 and not 3
( Slope is defined as the ratio of change in y to the change in x)
