Question

Wote the following In the intercepis and domain, and perform the wymmetry text on each of the few lor'259' = 400 4xy!=64 Ox+4y= 36 (h) 7x' w-112

Answer 1

h) the initial equation is:

$7x^2+8y^2=112$

So to find the intercepts we replace x = 0 and y = 0 so:

$\begin{gathered} 8y^2=112 \\ y^2=14 \\ y=\sqrt[]{14}=\pm3.74 \end{gathered}$

So the y interceps are 3.74 and -3.74 now for x

$\begin{gathered} 7x^2=112 \\ x^2=16 \\ x=\pm4 \end{gathered}$

So the domain will be:

$\mleft\lbrack-4,4\mright\rbrack$

In this case is centered in 0 and the domain is symetic so the function is symetric