Parametrize the line segment beginning at $(1,3)$ and ending at $(4,9).$

Use $t$ as the parameter.

$($Express numbers in exact form. Use symbolic notation and fractions where needed.$)$

$(x(t),y(t))$

Determine the range of values for parameter $t.$

$($Give your answer as an interval in the form $(*,*).$ Use the symbol $$ for infinity, $$ for combining intervals, and an appropriate type of parenthesis $"(",")","[","]"$ depending on whether the interval is open or closed. Enter $\frac{O}{?}$ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.$)$

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