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Properties of Radical Functions
To determine the horizontal intercept solve the equation $\displaystyle {p}{\left({x}\right)}={0}$ To determine the vertical intercept, evaluate set up the equation $\displaystyle {0}=\sqrt{{{p}{\left({x}\right)}}}$ It has the form $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{p}{\left({x}\right)}}}$ , where $\displaystyle {p}{\left({x}\right)}$ is a polynomial, and $\displaystyle {p}{\left({x}\right)}\ge{0}$ To determine the domain of $\displaystyle {f{{\left({x}\right)}}}$ , you want to find the values of $\displaystyle {x}$ such that $\displaystyle {p}{\left({x}\right)}\gt{0}$

Properties of Radical Functions

Which of the statements are true given the the basic square root function $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{p}{\left({x}\right)}}}$ ? Check all that apply.

To determine the horizontal intercept solve the equation $\displaystyle {p}{\left({x}\right)}={0}$
To determine the vertical intercept, evaluate set up the equation $\displaystyle {0}=\sqrt{{{p}{\left({x}\right)}}}$
It has the form $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{p}{\left({x}\right)}}}$ , where $\displaystyle {p}{\left({x}\right)}$ is a polynomial, and $\displaystyle {p}{\left({x}\right)}\ge{0}$
To determine the domain of $\displaystyle {f{{\left({x}\right)}}}$ , you want to find the values of $\displaystyle {x}$ such that $\displaystyle {p}{\left({x}\right)}\gt{0}$

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