Consider two functions y 1 (x) = x and y 2 (x) =...

y 1 (x) is linearly independent but y 2 (x) is linearly dependent on the real line.

y 1 (x) is linearly dependent but y 2 (x) is linearly dependent on the real line.

Consider two functions y₁ (x) = x and y₂ (x) = |x|. Then:

both functions are linearly dependent on the real line.

y₁(x) is linearly independent but y₂(x) is linearly dependent on the real line.

y1(x) is linearly dependent but y₂(x) is linearly dependent on the real line.

both functions are linearly independent on the real line.