Answer:
B and C
Step-by-step explanation:
We are going to look at each choice:
Let's look at choice A.
f(5)=1
f(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)=4
f(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)=5
f(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)=4
f(-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.
