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Andy Goldsworthy is best known for making sculptures that are:

For \[f(x) = \frac{1}{x – 3},\] which value of \( x \) is excluded from the domain?

What is the modulus of the complex number \( -6 + 8i \)?

To graph \[f(x) = \frac{2x}{x^2 – 9},\] what is the first step to identify the vertical asymptotes?

Which of the following describes the end behavior of \( y = \frac{x^3 – 8}{x^2 – 4} \) as \( |x| \to \infty \)? “The x-axis spans from below negative 5 to above 0, and the y-axis spans from below negative 20 to just above 20. 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 convex curve spans the first and second quadrants, passing through the points (negative 1.5, 6) and (3, 4). It starts from positive infinity near x = negative 2, decreasing rapidly, leveling off while passing the point (0, 1) and then continuing away from the positive x-axis.  The concave curve is in the third quadrant, passing through the points (negative 4, negative 6) and (negative 2.5, negative 10). It starts from negative infinity near x = negative 2, increasing steeply, leveling off while passing the point (negative 4, negative 6) and then then continuing away from the line y= negative 6.”

What is the equation of the vertical asymptote for \( f(x) = \frac{x – 1}{x + 2} \)?

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

Which characteristic of the function \[f(x) = \frac{3}{x – 1}\] does not change if the numerator becomes \( 5 \)?

The graph of \( f(x) = \frac{1}{x} \) shifts downward when:

What is the degree of the polynomial function based on the end behavior? The x-axis spans from negative 2 to 6, and the y-axis spans from below negative 10 to above 5. The x-axis has a scale of 2 in increments of 0.5 and the y-axis has a scale of 5 in increments of 1. The green polynomial function has a local minimum around (1, negative 4) and a local maximum around (3, 0). The function starts from positive infinity in the second quadrant, decreases to the local minimum in the fourth quadrant, rises to the local maximum, and then falls again towards negative infinity, extending out of view at both ends.