Solve the given equation below. Check for extraneous solutions. Then write the correct answer.

$\sqrt{x+3}-1=x$

Determine whether the statement is always, sometimes, or never true.

A square root function has two $x$-intercepts.

Solve the given equation below. Then write the correct answer.

$34y=t \sqrt{k x-m}+n$ for $x$.

For the function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.

$$f(x)=-\sqrt{x}$$

Determine whether the statement is always, sometimes, or never true

If $a>0$, then the graph of $f(x)=\sqrt{1+x}+a$ is entirely in Quadrant I of the coordinate plane.

Graph the transformation of the parent function $f(x)=\sqrt{x}$. Analyze the effect of the transformation on the graph of the parent function.

$$y=\sqrt{-\frac{2}{3} x}$$

Which function is the inverse of $f(x)=5 x+2$ ?

A. $f^{-1}(x)=2 x-5$

B. $f^{-1}(x)=\frac{x-2}{5}$

C. $f^{-1}(x)=\frac{x-5}{2}$

D. $f^{-1}(x)=5 x-2$

Give the maximum and minimum of the following square root functions over the specified interval.

$f(x)=\sqrt{x+3}-1 ;-2 \leq x \leq 1$

The velocity $v$ of an object dropped from a tall building is given by the formula $v=\sqrt{64 d}$, where $d$ is the distance the object has dropped. Solve the formula for $d$.

Solve the given equation below. Check for extraneous solutions. Then write the correct answer.

$\sqrt{x+4}=\sqrt{3 x}$

Solve the given equation below. Check for extraneous solutions. Then write the correct answer.

$$\sqrt{x-3}=x-5$$

Explain how you can find the range of the inverse of $f(x)=\sqrt{x-1}$ without finding the inverse itself.

Graph the transformation of the parent function $f(x)=\sqrt{x}$. Analyze the effect of the transformation on the graph of the parent function.

$y=\sqrt{-5 x}$

Determine whether the statement is always, sometimes, or never true.

The domain of a square root function includes positive and negative real numbers.