Which graph represents the function below?




Answer:
Step-by-step explanation:
Let analyse the two functions in the system:
The slope m =-3 <0 so this line is going down in the range x≤2
When x =2, h(x) = -3*2+ 2 = -4
The slope m=[tex]\frac{1}{2}[/tex] >0 so this line is going up in the range x > 2
When x=1, h(x) = [tex]\frac{1}{2} 1 - 4[/tex] = -3.5
So there is no picture can present the situation in your question.