Question

Fast! Which of the following are characteristics of the graph of the square root

Answer 1

Answer:

Only choices B and C are correct.

Step-by-step explanation:

The square root parent function is $f(x)= \sqrt{x}.$

The function $f(x)$ is not a linear function, therefore it's graph cannot be a straight line. This rules out choice A.

The function $f(x)$ is defined at $x=0$ because $f(0)= \sqrt{0} =0$. This means that choice B is correct.

The function $f(x)$ is only real for values $x\geq 0$, because negative values of $x$ give complex values for $f(x)$. This means that choice C is correct.

The function $f(x)$ can take only positive values which means it is confined to only the I quadrant, and is not defined in quadrants II, III, and IV. This rules out Choice D.

Therefore only choices B and C are correct.