https://file.aiquickdraw.com/mathbot/file/1727002968946j02s2xyy.jpg

The image shows two piecewise functions \( y = p(x) \) (in pink) and \( y = m(x) \) (in blue) graphed on a coordinate plane. The problem asks to compute \( (m + p)(-1) \), meaning we need to find the values of \( p(-1) \) and \( m(-1) \) and then add them together.

1. **Finding \( p(-1) \):**
   From the graph, for \( x = -1 \), the value of \( p(x) \) (pink line) is \( p(-1) = 3 \).

2. **Finding \( m(-1) \):**
   For \( x = -1 \), the value of \( m(x) \) (blue line) is \( m(-1) = 1 \).

3. **Calculating \( (m + p)(-1) \):**
   \[
   (m + p)(-1) = m(-1) + p(-1) = 1 + 3 = 4
   \]

Thus, \( (m + p)(-1) = 4 \).

Would you like further details or explanations? Here are 5 related questions to expand your understanding:

1. What would \( (m + p)(0) \) be based on the graph?
2. How would you find \( m(x) \) and \( p(x) \) at \( x = 2 \)?
3. What is the domain and range of the function \( p(x) \)?
4. How do piecewise functions behave at points where they change slope?
5. How can we interpret the intersection points of \( p(x) \) and \( m(x) \)?

**Tip:** When adding functions, evaluate each function individually for the input and then combine the results to get the final answer.

What is (m + p)(-1) based on the graph of the functions y = p(x) and y = m(x)?

Learn how to evaluate (m + p)(-1) by interpreting piecewise functions y = p(x) and y = m(x) on a graph. This step-by-step guide explains how to find individual function values and add them together. Suitable for students in Grades 8-10.

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