Answer:B and CStep-by-step explanation:We are going to look at each choice:Let's look at choice A.f(5)=1f(5) means look at function f and then see which piece contains x=5.5>1 so we are looking at [tex]x^2[/tex] for x=5 which gives you [tex]5^2=25[/tex], this is not 1.The answer is not A.Let's look at choice B.f(2)=4f(2) means look at function f and then see which piece contains x=2.2>1 so we are looking at [tex]x^2[/tex] for x=2 which gives you [tex]2^2=4[/tex], so this is true that f(2)=4.Let's look at choice C.f(1)=5f(1) means look at function f and then see which piece contains x=1.1=1 which means we are using [tex]5[/tex] for x=1, so f(1)=5 which is what choice C says so choice C is true.Let's look at choice D.f(-2)=4f(-2) means look at function f and then see which piece contains x=-2-2<1 so we use [tex]2x[/tex] for x=-2, so we get 2(-2)=-4 which is not 4 so f(-2)=4 is not true.