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Q 66.

Expert-verifiedFound in: Page 655

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

Graph each function.

$f\left(x\right)=\sqrt{9-9{x}^{2}}$.

The graph of the function is half an ellipse.

We have given function $f\left(x\right)=\sqrt{9-9{x}^{2}}$.

To obtain equation of ellipse we have

$(f{\left(x\right))}^{2}=9-9{x}^{2}\phantom{\rule{0ex}{0ex}}\frac{{x}^{2}}{1}+\frac{(f{\left(x\right))}^{2}}{9}=1$

The center of the ellipse lies at the origin and the major axis is y-axis.

The vertices are at $(0,\pm 3)$.

The x-intercept are at $(\pm 1,0)$.

The graph of the function is given as

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