9. Laplace Transforms II

Step Functions — Quiz

Test your understanding of step functions with 5 practice questions.

Practice Questions

Question 1

Which expression is the unit step function that is $0$ for $t<4$ and $1$ for $t\ge 4$?

Question 2

Write the function $f(t)$ as a step-function expression if $f(t)=0$ for $t<2$ and $f(t)=7$ for $t\ge 2$.

Question 3

Write the function $g(t)$ as a step-function expression if $g(t)=3$ for $t<5$ and $g(t)=0$ for $t\ge 5$.

Question 4

What is $\mathcal{L}\{u(t-3)\}$?

Question 5

What is $\mathcal{L}\{u(t-2)(t-2)\}$?