1. The problem statement, all variables and given/known data Mainly concerned with part (a). Here's the answer: I understand where the answers inside the bracket came from, but I don't understand how they got their bounds (-infinity to 3, 3 to 5, and 5 to infinity) 2. Relevant equations x is the impulse function here so y(t) = ∫h(τ)x(t-τ)dτ [-∞,∞] 3. The attempt at a solution Since x was chosen to be the impulse function, I start by reflecting it across the y-axis and then shifting it by t to get the graph x(t-τ): (minor mistake in my graph here: that τ-5 should be t-5 and the τ-3 should be t-3) I then start "sliding" this graph into h(τ): And this is where my confusion starts. If I perform the integration it'll be: ∫e^(-3τ)dτ [0, t-3] and I get the answer they have for when 3 < t ≤ 5 So basically my question is why is it 3 < t ≤ 5 here?