This is just a simple question that I can't figure out. Help me please!
Hi Yenna,
I'll denote the two functions as f_{i} for identity, and f_{a} for absolute value. The identity function is f_{i}(x) = x. The absolute value function is f_{a}(x) = |x|.
1) For x<0, f_{i}(x) = x; for example f_{i}(-2) = -2. However, f_{a}(x) = -x; for example f_{a}(-2) = |-2| = 2. We see that f_{i} has a slope of +1, and f_{a} has a slope of -1. Therefore, the similarity is that the magnitude (that is, absolute value) of the slopes is the same.
2) For x ≥ 0, ...
Yenna, I'll let you finish the second similarity. Good luck !