Write the domain in interval notation.
-$$y ( t ) = \sqrt { 8 - t }$$
A) $( - \infty , 8 )$
B) $( - \infty , 8 ]$
C) $( - \infty , \infty )$
D) $[ 0,16 ]$

Question

Quizplus · Accepted Answer

The domain of the function $y(t) = \sqrt{8 - t}$ consists of all values of $t$ for which the expression under the square root, $8 - t$, is greater than or equal to 0. Solving the inequality $8 - t \geq 0$ gives $t \leq 8$. Therefore, the domain in interval notation is $(- \infty, 8]$, which includes 8 because the square root of 0 is defined.

Write the Domain in Interval Notation y(t)=8−ty ( t ) = \sqrt { 8 - t }y(t)=8−t​

Write the Domain in Interval Notation $y ( t ) = \sqrt { 8 - t }$