Wize High School Grade 12 Pre-Calculus Textbook > Radical Functions

Radical Functions

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Radical Functions
A radical function is defined as:
y=  nf(x)\boxed{y=~~^n\sqrt {f(x)}}y=  nf(x)​​
where f(x)f(x)f(x) is a function and n∈Wn\in\mathbb{W}n∈W.

Square-Root Functions
y=xy=\sqrt{x}y=x​

    xy00114293164\begin{array}{|c|c|}\hline
x&y\\\hline
0&0\\\hline
1&1\\\hline
4&2\\\hline
9&3\\\hline
16&4\\\hline
\end{array}

x014916​y01234​​

xxx-Intercept: (0,0)(0,0)(0,0)
yyy-Intercept: (0,0)(0,0)(0,0)
Domain: [0,∞)[0,\infin)[0,∞)
Range: [0,∞)[0,\infin)[0,∞)

Wize High School Grade 12 Pre-Calculus Textbook > Radical Functions

Radical Functions

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Radical Functions

Square-Root Functions