Question: Which rational function has the given graph? -6-4-2246-8-6-4-224xy A coordinate system has a horizontal x-axis labeled from negative 6 to 6 in increments of 1

Which rational function has the given graph?

-6-4-2246-8-6-4-224xy

A coordinate system has a horizontal x-axis labeled from negative 6 to 6 in increments of 1 and a vertical y-axis labeled from negative 9 to 5 in increments of 1. A horizontal asymptote crosses the y-axis at negative 3. Vertical asymptotes cross the x-axis at negative 3 and 3. A graph has three branches. The first branch is below the horizontal asymptote and to the left of the asymptote crossing at negative 3, approaching both. The second branch is a curve that approaches the left asymptote from the right and approaches the right asymptote from the left. The curve falls from left to right at a decreasing rate, flattens when passing through (0, 0), and then rises from left to right at an increasing rate. The third branch is below the horizontal asymptote and to the right of the asymptote crossing at 3, approaching both.

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Part 1

A.Upper R left parenthesis x right parenthesis equals StartFraction 3 x squared Over x squared plus 9 EndFraction

Upper R left parenthesis x right parenthesis equals StartFraction 3 x squared Over x squared plus 9 EndFractionR(x)=3x2x2+9

B.Upper R left parenthesis x right parenthesis equals negative StartFraction 3 x squared Over x squared minus 9 EndFraction

Upper R left parenthesis x right parenthesis equals negative StartFraction 3 x squared Over x squared minus 9 EndFractionR(x)=3x2x29

C.Upper R left parenthesis x right parenthesis equals negative StartFraction 3 x squared Over x squared plus 9 EndFraction

Upper R left parenthesis x right parenthesis equals negative StartFraction 3 x squared Over x squared plus 9 EndFractionR(x)=3x2x2+9

D.Upper R left parenthesis x right parenthesis equals StartFraction 3 x squared Over x squared minus 9 EndFraction

Upper R left parenthesis x right parenthesis equals StartFraction 3 x squared Over x squared minus 9 EndFraction

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