Math Problem Statement
correct or no?
Solution
The graph in the image depicts a curve that looks like part of a rational or logarithmic function, which is decreasing and passes the vertical line test. To determine whether this graph represents a one-to-one function, we apply the horizontal line test: if any horizontal line intersects the graph at most once, the function is one-to-one.
From the graph, it appears that no horizontal line intersects the curve more than once, so the function is one-to-one.
Therefore, the correct answer to the question is True.
Would you like further details, or do you have any questions?
Here are five related questions for you:
- How can you tell if a function is one-to-one using its algebraic form?
- What is the difference between the vertical and horizontal line tests?
- Can a one-to-one function have any repeated values for different inputs?
- How does the inverse of a one-to-one function behave?
- What types of functions (e.g., linear, quadratic, etc.) are typically not one-to-one?
Tip: Always remember, a function is one-to-one if no two different inputs have the same output!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Functions
One-to-One Functions
Graphing
Formulas
-
Theorems
Horizontal Line Test
Suitable Grade Level
Grades 9-12
Related Recommendation
Determining One-to-One Functions Using the Horizontal Line Test
Understanding One-to-One Functions Using the Horizontal Line Test
Determine One-to-One Function Using Horizontal Line Test
Determine if a Graph is One-to-One Using the Horizontal Line Test
Determine if the Function in the Graph is One-to-One