Graphical Behavior: Finding y-intercepts

Graphical Behavior

Finding y-intercepts

Where the graph of the function crosses the y-axis is the y-intercept, where x = 0. Functions can have only one y-intercept. The y-intercept cannot be determined if the function is undefined.

Example 1 Find the y-intercept of the function.

$frac1$

Step 1. Simplify the function completely.

This function is in simplest form. When x = 0, the denominator is 5, therefore the function is defined.

Step 2. Substitute x = 0 into your equation and solve.

$frac2$

$frac3$

y-intercept: