What are the vertical asymptotes of the function above? Question 1Answera.x = -3, x =-1b.y = 3, y = 1c.x = 1, x =-3d.x = 1, x =3

To determine the vertical asymptotes of a function, we need to analyze its denominator. Vertical asymptotes occur at values of $x$ that make the denominator zero while not causing the numerator to be zero as well.

Step 1: Break Down the Problem

1. Identify the function in question (not provided, but typically a rational function).
2. Locate values of $x$ that cause the denominator to equal zero.

Step 2: Relevant Concepts

At vertical asymptotes, the function approaches infinity or negative infinity. This is usually found in rational functions of the form: $f(x) = \frac{N(x)}{D(x)}$ where $D(x) = 0$ indicates potential vertical asymptotes.

Step 3: Analysis and Detail

1. Set the denominator $D(x) = 0$.
2. Solve for $x$ to find the values that give vertical asymptotes.

Step 4: Verify and Summarize

Check each candidate for being a vertical asymptote by confirming that the numerator does not also equal zero at those points.

Final Answer

Since the specific function was not provided, you would typically determine the vertical asymptotes from the function itself. Based on the choices given, select the option that reflects the values found in your function's analysis.

For example, if your analysis yields vertical asymptotes at $x = -3$ and $x = -1$, then the answer would be:

• Answer: a. $x = -3, x = -1$