Find the domain of the function. $f ( x ) = 2 x ^ { 2 } - 3 , \quad 0 \leq x

Question

Find the domain of the function. $f ( x ) = 2 x ^ { 2 } - 3 , \quad 0 \leq x < 5$

A) $[ 0,6 ]$
B) $(-\infty, \infty)$
C) $( 3 / 2 , \infty )$
D) $( - \infty , 5 ) \cup ( 5 , \infty )$
E) $[ 0,5 )$

Quizplus · Accepted Answer

The given function has a restriction on the domain, which is given as $0\leq x<5$. This means that $x$ can take on values between $0$ and $5$, but not including $5$. Therefore, the correct domain is $[0,5)$. Option E is the only answer choice that includes this interval.

Find the Domain of the Function f(x)=2x2−3,0≤x<5f ( x ) = 2 x ^ { 2 } - 3 , \quad 0 \leq x < 5f(x)=2x2−3,0≤x<5

Find the Domain of the Function $f ( x ) = 2 x ^ { 2 } - 3 , \quad 0 \leq x < 5$