Question

Which graph represents the rational function f(x) = 2/x^2+5

Answer 1

Answer:

A on Edge

Step-by-step explanation:

:)

Answer 2

Shown below

Explanation:

$f(x) = \frac{2}{x^2+5}$

Let's analyze this function. In order for this function to be continuous, the denominator can't be zero. So:

$x^2+5 \neq 0$

But this is never zero because $x^2$ gives us a positive number that added to 5 also gives us a positive number. Therefore this function is continuous from $-\infty \ to \ \infty$.

When x tends to $-\infty \ to \ \infty$ the graph of the function approaches zero and when $x=0$ then $y=0.4$

So we get the graph shown below.