Step-by-step explanation:
Objective: Solving Piecewise Functions
Analyze the info in the graph.
We know that if x=1, the graph will coincide at 5.
If x is greater than 1, the answer will be x squared it answer so any positve interger greater than 1 the answer is that squared.
If x is less than 1, the answer will be double that x.
Let check the answer choices.
A is wrong because x is less than 1 so the answer should be 2(-2)=-4 not 4.
C is Wrong, since 5 is greater than 1, it must be 25 so 5^2=25
D and B are both right, 2 is greater than 1 so 2 squared =4 and Whenever x=1, it will equal 5.
