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.
\bigcirc origin symmetry
\bigcirc y - axis symmetry
\bigcirc neither y - axis symmetry nor origin symmetry
what is the y - intercept? select the correct choice below and, if necessary, fill in the answer box to complete your choice.
\bigcirc a. the y - intercept is \square.
\bigcirc b. there is no y - intercept.

Explanation:

Step1: Find y - intercept

The y - intercept of a function \(y = f(x)\) is found by setting \(x = 0\). For the function \(f(x)=\frac{3x^{2}+x - 4}{2x^{2}-7x}\), when \(x = 0\), the denominator \(2x^{2}-7x=2(0)^{2}-7(0)=0\).

Answer:

B. There is no y - intercept.