Question

The graph of h(x) is shown.

What are the intercepts and asymptote(s) of h(x)? Explain how to find these using the graph.

Answer 1

y-int = -1

x-int = -4

HA: y = -2

VA: x = -5

Explanation:

For the y-intercept, you need to look where the graph intersects with the y-axis. In this case, the graph intersects at -1.

For the x-intercept, you need to look where the graph intersects with the x-axis. In this case, the graph intersects at -4.

The horizontal asymptote is a y value the graph approaches but does not pass or touch. In this case, the y value is -2.

The vertical asymptote is a x value the graph approaches but does not pass or touch. In this case, the x value is -5.