Math Problem Statement

Use the graph to estimate the x- and y-intercepts.

Solution

Let's analyze the graphs one by one to estimate the x-intercepts and y-intercepts.

11.

  • X-intercept: The graph crosses the x-axis around x=6x = 6.
  • Y-intercept: The graph crosses the y-axis around y=4y = -4.

12.

  • X-intercept: The graph crosses the x-axis around x=3x = 3.
  • Y-intercept: The graph crosses the y-axis at y=2y = 2.

13.

  • X-intercepts: The graph (a parabola) crosses the x-axis at two points, around x=2x = -2 and x=2x = 2.
  • Y-intercept: The graph crosses the y-axis at y=4y = -4.

14.

  • X-intercepts: The graph (another parabola) crosses the x-axis at two points, around x=0x = 0 and x=6x = 6.
  • Y-intercept: The graph crosses the y-axis at y=4y = 4.

Would you like a more detailed explanation of any specific intercepts or further questions on the graphs?

Related Questions:

  1. How are x- and y-intercepts used to find the equation of a line?
  2. What is the relationship between the x-intercepts of a quadratic function and its roots?
  3. How can you determine the intercepts algebraically if given an equation?
  4. What are the implications of having multiple x-intercepts for a function?
  5. How does the steepness of a line affect the intercepts?

Tip:

Remember that x-intercepts occur where y=0y = 0, and y-intercepts occur where x=0x = 0. This concept is fundamental for graph interpretation!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Equations
Quadratic Functions
Graph Interpretation

Formulas

y = mx + b (for linear equations)
Quadratic function ax^2 + bx + c

Theorems

Intercept theorem
Quadratic roots and intercepts

Suitable Grade Level

Grades 8-10