Math Problem Statement

What are the​ intercepts?

What are the intercepts?

Solution

From the graph you provided, let's identify the intercepts:

  1. x-intercepts: These are the points where the graph crosses the x-axis (i.e., where y=0y = 0).

    • The graph crosses the x-axis at two points:
      • (2,0)(-2, 0)
      • (2,0)(2, 0)
  2. y-intercept: This is the point where the graph crosses the y-axis (i.e., where x=0x = 0).

    • The graph crosses the y-axis at:
      • (0,2)(0, 2)

Summary of intercepts:

  • x-intercepts: (2,0)(-2, 0) and (2,0)(2, 0)
  • y-intercept: (0,2)(0, 2)

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. How do you find the intercepts from an equation of a line or curve?
  2. What is the significance of the x- and y-intercepts in different types of functions?
  3. How does the shape of this graph relate to the type of function it represents?
  4. Could this graph represent a piecewise or a step function?
  5. How would the intercepts change if the graph were shifted horizontally or vertically?

Tip: Intercepts provide crucial information about the function's behavior and can help in sketching its graph accurately.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Graph Intercepts

Formulas

x-intercept: set y = 0
y-intercept: set x = 0

Theorems

Definition of intercepts on the Cartesian plane

Suitable Grade Level

Grades 6-8