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

$f(x)=\sqrt{-x+3}$

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

For any real number $a$, the range of $f(x)=\sqrt{x-a}$ includes negative numbers.

Solve the square root equation for the given value of $y$. Round your answer to the nearest tenth.

$y=12 \sqrt{x}-9, y=10$

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

$y=\sqrt{x}-2$

For this exercise. Write the inverse of $f(x)=(x+8)^2$. Give the domain and range of the function and its inverse.

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

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

Graph the function. Write the domain and range as inequalities.

$f(x)=\sqrt{x+4}$

Match the vocabulary term with the description that best fits it.

A. is the simplest form of the square root function, or $f(x)=\sqrt{x}$

B. is a radical equation in which the radical has an index of 2

C. is a function that can be written in the form $f(x)=a \sqrt{x-h}+k$, where $a \neq 0$

Square Root Parent Function

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

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

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

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

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

$f(x)=\sqrt{x}+3$

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

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

Write an equation that has two radical expressions and no real roots.

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

$y=\sqrt{2 x}+1$