WeBWorK Standalone Renderer

Graph the function $f(t) = h\!\left(t-1\right)+h\!\left(t-8\right)$ for $0 \leq t < \infty$ . Use your graph to write this function piecewise as follows:

$h\!\left(t-1\right)+h\!\left(t-8\right) = \displaystyle \Bigg\lbrace$ if $0 \leq t < 1,$
if $1 \leq t < 8,$
if $8 \leq t < \infty.$

help (formulas)
Find the Laplace transform $F(s) = {\mathcal L}\left\lbrace f(t) \right\rbrace$ of the function $f(t) = h\!\left(t-1\right)+h\!\left(t-8\right)$ .

$\displaystyle F(s) = {\mathcal L}\left\lbrace f(t) \right\rbrace =$ help (formulas)

You can earn partial credit on this problem.