5.4 Radical functions (graphs)

What are the domain and range of [math]f(x)=\sqrt{x^2-4x+7}[/math]?

Consider a radical function [math]f(x)=\sqrt{-x^2-10x-16}[/math]. If the domain of [math]f(x)[/math] is [math][a,b][/math] and the range of [math]f(x)[/math] is [math][c,d][/math], what is the value of [math]a+b+c+d[/math]?

What is the domain of [math]h(x)=\dfrac{1}{\sqrt{x^2+x}}[/math]?

What is the domain of [math]\sqrt{\dfrac{x+2}{x+4}}+\sqrt{\dfrac{x+4}{x+2}}[/math]?

What is the equation of the graph shown?

What is the domain and range of the equation [math]y=-\displaystyle{\frac{1}{2}}\sqrt{x+2}-5[/math]?

The figure shows the graph of the function [math]f(x)=\sqrt[3]{ax+b}+c[/math]. Find [math]a+b+c[/math].

The figure shows the graph of the function [math]f(x)=a\sqrt{b-x}+c[/math]. Find [math]a+b+c[/math]. Round to the nearest integer.

The figure shows the graph of the function [math]f(x)=-\sqrt{ax+b}+c[/math]. Find [math]a, b[/math], and [math]c[/math].

How many integer solutions does the inequality [math]\sqrt{x+3}<4[/math] have?

What is the minimum positive integer solution to the inequality [math]\sqrt{x^2+2}\geq3[/math]?

How many integer solutions does the inequality [math]\sqrt{x-3}+1> x-4[/math] have? (Hint: Graphing)

The graph of which function is shown?

Express[math]\sqrt[5]{-3072s^{10}q^{15}}[/math] in simplified form.

The graph shown can be represented by which function?