Math Problem Statement
Determine if the graph is a function. Question content area bottom left Part 1 Using the vertical line test, is this the graph of a function? Yes No . . . Question content area right Part 1 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10 x y
Solution
To determine if a graph represents a function, we apply the Vertical Line Test. This test involves drawing vertical lines (at various values of ) across the graph. If any vertical line intersects the graph at more than one point, the graph does not represent a function.
Steps:
- Draw vertical lines at various points on the graph.
- Observe the intersections:
- If a vertical line touches the graph at more than one point, the graph does not pass the Vertical Line Test and is not a function.
- If every vertical line touches the graph at only one point, then the graph is a function.
Since you have not uploaded the image of the graph, I am unable to perform this test directly on your graph. However, based on your description, you can apply this process to determine the answer.
Let me know if you'd like further details or need help with another question!
5 Related Questions:
- What does it mean for a graph to represent a function?
- Can a graph be a function if it intersects a vertical line twice?
- How do you determine the domain and range of a function from its graph?
- What is the difference between a function and a relation?
- Can you explain how to find the inverse of a function from its graph?
Tip:
A helpful approach is to use graphing software or a graphing calculator to visualize the Vertical Line Test more clearly.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Functions
Graphing
Vertical Line Test
Formulas
-
Theorems
Vertical Line Test
Suitable Grade Level
Grades 8-10