Zimmerman Ramos
08/20/2023 · Senior High School
(a) Express the distance \( d \) from \( P \) to the origin as a function of \( x \). \( d(x)=\sqrt{x^{4}-3 x^{2}+4} \) (Simplify your answer. Type an exact answer, using radicals as needed.) (b) What is \( d \) if \( x=0 \) ? If \( x=0 \), the distance \( d \) is 2 . (Type an integer or decimal rounded to two decimal placels as needed.) (c) What is \( d \) if \( x=1 \) ? If \( x=1 \), the distance \( d \) is \( \square \). (Type an integer or decimal rounded to two decimal places as needed.)
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(a) \( d(x) = \sqrt{x^4 - 3x^2 + 4} \)
(b) \( d = 2 \)
(c) \( d = \sqrt{2} \) or approximately 1.41
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