follow the seven step strategy to graph the following rational function.\nf(x) = \\frac{5x^{2}}{x^{2}+9}\n\na…

follow the seven step strategy to graph the following rational function.\nf(x) = \\frac{5x^{2}}{x^{2}+9}\n\na. the y - intercept is 0.\n(type an integer or a simplified fraction.)\nb. there is no y - intercept.\n\nwhat is/are the x - intercept(s)? select the correct choice below and, if necessary, fill in the answer box to complete your choice.\n\na. the x - intercept(s) is/are \n(type an integer or a simplified fraction. use a comma to separate answers as needed.)\nb. there is no x - intercept.

follow the seven step strategy to graph the following rational function.\nf(x) = \\frac{5x^{2}}{x^{2}+9}\n\na. the y - intercept is 0.\n(type an integer or a simplified fraction.)\nb. there is no y - intercept.\n\nwhat is/are the x - intercept(s)? select the correct choice below and, if necessary, fill in the answer box to complete your choice.\n\na. the x - intercept(s) is/are \n(type an integer or a simplified fraction. use a comma to separate answers as needed.)\nb. there is no x - intercept.

Answer

Explanation:

Step1: Find the y - intercept

Set (x = 0) in (f(x)=\frac{5x^{2}}{x^{2}+9}). Then (f(0)=\frac{5\times0^{2}}{0^{2}+9}=0).

Step2: Find the x - intercept

Set (y = f(x)=0), so (\frac{5x^{2}}{x^{2}+9}=0). Since the numerator (5x^{2}=0) when (x = 0) (and the denominator (x^{2}+9\neq0) for all real (x) because (x^{2}\geq0) so (x^{2}+9\geq9)), the x - intercept is (x = 0).

Answer:

A. The y - intercept is 0. A. The x - intercept(s) is/are 0.