Complete the following table for the function

MATHEMATICS · Multi-part · AoPS · Mathematics · Special Functions · Special Functions

Problem

y=\dfrac{1}{x}

, then use it to obtain a full sketch of the graph. (i) Calculate the missing

y

–values. (2)

$x$	$-4$	$-2$	$-1$	$-\tfrac12$	$\tfrac12$	$1$	$2$	$4$
$y$

(ii) Plot all eight correct points on a carefully drawn Cartesian plane and sketch both branches of the curve through them. (5) (iii) Using your graph, estimate the value of

x

(positive) for which

\dfrac{1}{x}=\dfrac13

. Write the reading correct to one decimal place. (3)

Related theory

Rational Functions
Functions
Special Functions

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