Draw the graph of the polynomial $ \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}-2 \mathrm{x}-8 $.

Given:

Given polynomial is $ \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}-2 \mathrm{x}-8 $.
To do:

We have to draw the graph of the given polynomial.

Solution:

Let $y =f(x)= x^2 - 2x - 8$.

The following table gives the values of $f(x)$ for various values of x.

$x$	$-4$	$-3$	$-2$	$-1$	$0$	$1$	$2$	$3$	$4$	$5$
$f(x)$	16	7	0	$-5$	$-8$	$-9$	$-8$	$-5$	0	7

Plot the points $(-4, 16), (-3, 7), (-2, 0), (-1, -5), (0, - 8), (1, - 9), (2, - 8), (3, - 5), (4, 0), (5, 7)$ on a graph paper and draw a curve passing through these points.

The curve so obtained represents the graph of the polynomial $f(x) = x^2 - 2x - 8$.

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Updated on: 10-Oct-2022

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