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follow the seven step strategy to graph the following rational function…

Question

follow the seven step strategy to graph the following rational function.
$f(x) = \frac{3x^2 + x - 4}{2x^2 - 7x}$

to graph the function, first determine the symmetry of the graph of $f$. choose the correct answer below.

  • origin symmetry
  • y-axis symmetry
  • neither y-axis symmetry nor origin symmetry

Explanation:

Brief Explanations

To check for \(y -\)axis symmetry, substitute \(x=-x\) into \(f(x)\).

$$ LATEXBLOCK0 $$

To check for origin symmetry, substitute \(x =-x\) and then multiply by \(- 1\).

$$ LATEXBLOCK1 $$

Answer:

neither \(y -\)axis symmetry nor origin symmetry