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Using the graph, find p(0)p(0)and find xxsuch that p(x)=−2.p(x)=−2.

From the graph, we need to extract two pieces of information:

1. **Finding \( p(0) \):** This represents the value of the function \( p(x) \) when \( x = 0 \). To find this, we look at where the graph intersects the y-axis (because \( x = 0 \) on the y-axis).
   
   From the graph, at \( x = 0 \), the red curve crosses the y-axis at \( y = 1 \). Hence, \( p(0) = 1 \).

2. **Finding \( x \) such that \( p(x) = -2 \):** Here, we need to find the value of \( x \) where the graph intersects \( y = -2 \).

   Looking at the graph, the red curve crosses the horizontal line \( y = -2 \) when \( x \approx -5 \).

So, the answers are:

- \( p(0) = 1 \)
- \( p(x) = -2 \) when \( x = -5 \)

Do you want more details or have any questions?

Here are 5 related questions you might explore:
1. What is the general shape of the graph of a cubic function?
2. How do you find the roots of a function from its graph?
3. What is the significance of the x-intercept on a graph?
4. Can a function have more than one value for \( p(x) = -2 \)?
5. How can you estimate the value of a function at non-integer points?

**Tip:** Always double-check both the x- and y-values carefully when reading from a graph to ensure accuracy.

Using the graph, find p(0) and find x such that p(x) = -2.

Learn how to find p(0) and the value of x such that p(x) = -2 by interpreting a graph. This problem focuses on graph analysis and function evaluation, suitable for students in Grades 6-8.

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