Simplify the product: \[\frac{3x + 6}{x^2 + 3x} \times \frac{x + 3}{x + 2}\]

Which value is a multiple root of the polynomial shown in the graph have? The x-axis spans from negative 10 to 10, and the y-axis spans from below 0 to above 40. The x-axis has a scale of 5 in increments of 1 and the y-axis has a scale of 20 in increments of 5. The red polynomial function has a local minimum around (negative 3, 0) and a local maximum near (1.5, 50). The function starts from positive infinity, decreases to the local minimum, rises to the local maximum, and then falls towards negative infinity, extending out of view at both ends.

What is the effect of adding 3 to the reciprocal function \( f(x) = \frac{1}{x} \)?

What is the \( y \)-intercept of the graph? The x-axis spans from below negative 5 to above 5, and the y-axis spans from below negative 20 to 10. The x-axis has a scale of 5 in increments of 1 and the y-axis has a scale of 10 in increments of 2. The blue parabola opens upward, with its vertex at approximately (negative 0.5, negative 20). The curve is symmetric around the vertical line passing through the vertex. It intersects the y-axis at (0, negative 20). It crosses the x-axis at (negative 5, 0) and (4, 0), extending out of view at both ends. 

What is an x-intercept of \[f(x) = \frac{x^2 + 5x}{x^2 – 4}?\]

Which equation represents a vertical compression of \( f(x) = \vert x \vert \) by a factor of \( \frac{1}{4} \)?

When two quantities are inversely proportional, which statement is true?

Use long division to simplify \( (x^3 + 2x^2 – 3x – 6) \div (x + 2) \). What is the quotient?

Which of the following statements about the graph of \( f(x) = \frac{x}{x^2 – 1} \) is correct?

If \( f(x) = \frac{1}{x} \) is transformed to \( g(x) = \frac{1}{x} – 3 \), what happens to the graph?