a) Sketch the function f=inline('x^2 -4') (b) Using graphical method, what is the maximum number of roots that this function has. Choices O2 infinite

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### Homework Task

**Problem:**

(a) Sketch the function \( f = x^2 - 4 \).

(b) Using the graphical method, determine the maximum number of roots this function has.

**Choices:**

- [ ] 2
- [ ] 1
- [ ] infinite
- [ ] 0

**Instructions:**

- Click "Submit" after selecting your answer.
- You have 1 attempt.

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- **Homework 10:**
  - Q1  Q2  Q3
  - Q4  Q5  **Q6**
  - **Q7**  Q8  Q9
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### Graph Explanation

The equation \( f(x) = x^2 - 4 \) is a quadratic function. A plot of this function will show a parabola that opens upwards with its vertex at the origin of the y-axis (\(x = 0, y = -4\)).

**Key Points:**

- The function intersects the x-axis at points \(x = 2\) and \(x = -2\), representing the roots of the equation.
- Thus, the maximum number of roots for this quadratic function is 2, as shown by the intersections with the x-axis.
  
Please proceed by sketching the function on a graph and identifying its roots.
Transcribed Image Text:### Homework Task **Problem:** (a) Sketch the function \( f = x^2 - 4 \). (b) Using the graphical method, determine the maximum number of roots this function has. **Choices:** - [ ] 2 - [ ] 1 - [ ] infinite - [ ] 0 **Instructions:** - Click "Submit" after selecting your answer. - You have 1 attempt. **Navigation:** - Home | (noPHP) - **Homework 10:** - Q1 Q2 Q3 - Q4 Q5 **Q6** - **Q7** Q8 Q9 - Q10 ### Graph Explanation The equation \( f(x) = x^2 - 4 \) is a quadratic function. A plot of this function will show a parabola that opens upwards with its vertex at the origin of the y-axis (\(x = 0, y = -4\)). **Key Points:** - The function intersects the x-axis at points \(x = 2\) and \(x = -2\), representing the roots of the equation. - Thus, the maximum number of roots for this quadratic function is 2, as shown by the intersections with the x-axis. Please proceed by sketching the function on a graph and identifying its roots.
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