Checkpoint: Leading Coefficient Test Solutions

Describe the end behavior of the equation. Name the degree and leading coefficient.

$g (x) = 10 x^{2} {(x - 12)}^{3}$

$x \to - \infty, f (x) \to - \infty, and x \to + \infty, f (x) \to + \infty a = 10, n = 2 + 3 = 5$

$y = - 7 {(x + \sqrt{5})}^{2} {(x - 6)}^{2}$

$x \to \pm \infty, f (x) \to - \infty a = - 7, n = 2 + 2 = 4$

Note

Sketching the end behavior can help you visualize the graph’s trend.

Q: How can you determine the degree when there are multiple variables?

A: Name the power of each variable and add them together to determine the degree.