Question

what is the range of x^2/x^4+1

Answer 1

$\huge\underline\red{Answer:-}$

Range is (0,1].

STEP BY STEP EXPLANATION:-

Consider the function:-

f(x)= 1 / x^2+ 1f

• No vertical asymptotes.
• Even function, so it is symmetric about x=0
• Horizontal Asymptote at y=0.
• f(x)>0∀x∈Rf
• Setting x=0x=0, makes quick work and gives us f(0)=1 which means.

Range is (0,1]