Question
Question
Determine if the relation y=4x−1
is a function by first graphing the relation, then applying the vertical line test. Enter 1 if the relation is a function. Enter 2 if the relation is not a function.(1 point)
Determine if the relation y=4x−1
is a function by first graphing the relation, then applying the vertical line test. Enter 1 if the relation is a function. Enter 2 if the relation is not a function.(1 point)
Answers
GPT-4o mini
To determine if the relation \( y = 4x - 1 \) is a function, we can analyze it in the following ways:
1. **Graph the relation**: The equation \( y = 4x - 1 \) represents a linear equation, which is a straight line.
2. **Vertical Line Test**: The vertical line test states that if any vertical line crosses the graph of a relation more than once, then the relation is not a function.
Since \( y = 4x - 1 \) is a straight line, any vertical line will intersect it exactly once.
Based on this analysis:
- The relation \( y = 4x - 1 \) is indeed a function.
So, you should enter **1** to indicate that the relation is a function.
1. **Graph the relation**: The equation \( y = 4x - 1 \) represents a linear equation, which is a straight line.
2. **Vertical Line Test**: The vertical line test states that if any vertical line crosses the graph of a relation more than once, then the relation is not a function.
Since \( y = 4x - 1 \) is a straight line, any vertical line will intersect it exactly once.
Based on this analysis:
- The relation \( y = 4x - 1 \) is indeed a function.
So, you should enter **1** to indicate that the relation is a function.