Math Problem Statement
What are the intercepts?
What are the intercepts?
Solution
From the graph you provided, let's identify the intercepts:
-
x-intercepts: These are the points where the graph crosses the x-axis (i.e., where ).
- The graph crosses the x-axis at two points:
- The graph crosses the x-axis at two points:
-
y-intercept: This is the point where the graph crosses the y-axis (i.e., where ).
- The graph crosses the y-axis at:
- The graph crosses the y-axis at:
Summary of intercepts:
- x-intercepts: and
- y-intercept:
Would you like more details or have any questions?
Here are 5 related questions to deepen your understanding:
- How do you find the intercepts from an equation of a line or curve?
- What is the significance of the x- and y-intercepts in different types of functions?
- How does the shape of this graph relate to the type of function it represents?
- Could this graph represent a piecewise or a step function?
- 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.
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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