The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step functions. Use h(t – a) for the Heaviside function shifted a units horizontally. f(t) = help (formulas) 2. 3 4 t Graph of y = f(t) Hint: First, find a formula for f(t) as a piecewise defined function: if 0

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The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step functions. Use h(t – a) for the
Heaviside function shifted a units horizontally.
f(t)
help (formulas)
1
3
4
t.
Graph of y = f(t)
Hint: First, find a formula for f(t) as a piecewise defined function:
if 0 <t < 1
if 1<t< 2
if 2 <t < 3
???
f(t)
???
if 3 くt<o.
The two formulas for 1 <t < 2 and 2 <t < 3 can each be found by finding the equation of a line through two points.
For example, the formula for for 1<t< 2 should be a line that goes through the points (1,0) and (2, 4).
Transcribed Image Text:The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step functions. Use h(t – a) for the Heaviside function shifted a units horizontally. f(t) help (formulas) 1 3 4 t. Graph of y = f(t) Hint: First, find a formula for f(t) as a piecewise defined function: if 0 <t < 1 if 1<t< 2 if 2 <t < 3 ??? f(t) ??? if 3 くt<o. The two formulas for 1 <t < 2 and 2 <t < 3 can each be found by finding the equation of a line through two points. For example, the formula for for 1<t< 2 should be a line that goes through the points (1,0) and (2, 4).
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