How do you graph $y=1/2sqrtx$ , compare it to the parent graph and what is the domain and range?

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Answer 1 · 2017-10-22T02:44:24

The graph of $y$ is the standard graph $f(x)=sqrtx$ scaled by $1/2$
Domain: $[0, +oo)$ Range: $[0, +oo)$

The graph of $y$ is the standard graph $f(x)=sqrtx$ scaled by $1/2$

The graphs of $y$ (lower) and $sqrtx$ (upper) are shown below.

graph{(1/2sqrt(x)-y)(sqrt(x)-y)=0 [-2.653, 9.833, -3.12, 3.125]}

$y$ is defined $forall x in RR >=0$

Hence the domain of $y$ is $[0, +oo)$

$y=0$ at $x=0$

$y$ has no finite upper bound.

Hence the range of $y$ is also $[0, +oo)$

How do you graph y=1/2sqrtxy=1/2sqrtx, compare it to the parent graph and what is the domain and range?