https://file.aiquickdraw.com/mathbot/file/1729800781925j0pacuzd.jpg

Let's analyze the graph to solve the problems.

The graph provided is a parabolic curve, and based on the labeled points, it seems like the function is quadratic. The points marked are:
- \( (-6, 5) \)
- \( (-4, 0) \)
- \( (0, -4) \)
- \( (4, 0) \)
- \( (6, 5) \)

Now, let's address each function value requested:

### 20. \( f(-6) \)
From the graph, \( f(-6) = 5 \) (since the point \( (-6, 5) \) is on the graph).

### 21. \( f(-4) \)
From the graph, \( f(-4) = 0 \) (since the point \( (-4, 0) \) is on the graph).

### 22. \( f(0) \)
From the graph, \( f(0) = -4 \) (since the point \( (0, -4) \) is on the graph).

### 23. \( f(4) \)
From the graph, \( f(4) = 0 \) (since the point \( (4, 0) \) is on the graph).

### 24. \( f(6) \)
From the graph, \( f(6) = 5 \) (since the point \( (6, 5) \) is on the graph).

---

Would you like further details or explanations for any of these answers? 

Here are five related questions to deepen your understanding:
1. How can you determine if a function is even or odd using its graph?
2. What are the key features of quadratic functions in general?
3. How can the vertex of a parabola be identified on a graph?
4. How do you find the axis of symmetry of a parabola?
5. Can you derive the equation of the parabola based on the given points?

**Tip:** The vertex form of a quadratic equation is \( f(x) = a(x-h)^2 + k \), where \( (h, k) \) is the vertex. Try using this to derive the equation of the given function!

Use the graph of f to determine each indicated function value.

Analyze a quadratic function graph to determine specific function values, such as f(-6), f(-4), f(0), f(4), and f(6). Learn how to interpret key points on the graph and understand symmetry in parabolas. Suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation