https://r2.erweima.ai/mathbot/image/1724373145661y8d8csno.jpg

Which function has the smallest y -intercept?

To determine which function has the smallest \( y \)-intercept, we need to examine the provided graph for Function A and the table for Function B.

### Analyzing the Functions:

1. **Function A** (from the graph):
   - The \( y \)-intercept occurs where the graph crosses the \( y \)-axis (i.e., where \( x = 0 \)).
   - From the graph, it appears that the \( y \)-intercept of Function A is somewhere above 0. The exact value can't be determined visually without more specific labels, but it’s positive.

2. **Function B** (from the table):
   - The \( y \)-intercept is the value of \( y \) when \( x = 0 \).
   - According to the table, when \( x = 0 \), \( y = 1 \).

### Comparison:
- **Function A** appears to have a positive \( y \)-intercept, but likely greater than 1.
- **Function B** has a \( y \)-intercept of 1.

### Conclusion:
Since both functions have positive \( y \)-intercepts and given that the \( y \)-intercept of Function A is likely greater than that of Function B, **Function B** has the smallest \( y \)-intercept.

Would you like more details on how to analyze \( y \)-intercepts from graphs and tables?

---

### Related Questions:
1. What are \( y \)-intercepts, and why are they important in graph analysis?
2. How can you find the \( y \)-intercept from the equation of a function?
3. What does it mean for a function to have a negative \( y \)-intercept?
4. How can the \( y \)-intercept be used to determine the behavior of a function as \( x \) approaches 0?
5. How do shifts in the graph of a function affect the \( y \)-intercept?

### Tip:
When reading a graph, ensure to accurately identify the \( y \)-intercept by checking the exact point where the curve intersects the \( y \)-axis, especially if the graph scale is not clearly marked.

Explore how to determine which function has the smallest y-intercept using graph analysis and table data. Learn the methods to identify and compare y-intercepts, crucial in function analysis. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation