Intercepts

Definition

Intercepts are the points where a graph crosses the x-axis or y-axis. These points are crucial for understanding the behavior and characteristics of a function.

5 Must Know Facts For Your Next Test

1. The x-intercept is found by setting y to zero and solving for x.
2. The y-intercept is found by setting x to zero and solving for y.
3. A function can have multiple x-intercepts but only one y-intercept.
4. Intercepts provide key insights into the roots and initial value of a function.
5. Graphing intercepts helps in sketching the overall shape of a function.

Review Questions

• How do you determine the x-intercept of a function?
• What is unique about the number of y-intercepts a function can have?
• Why are intercepts important when graphing functions?

Related terms

Slope: The measure of the steepness or incline of a line, calculated as the ratio of rise over run.

Roots: Values of x that make the function equal to zero, corresponding to the x-intercepts.

Asymptote: A line that a graph approaches but never touches or crosses, indicating behavior at infinity.