Math Problem Statement
Using the graph, find p(0)p(0)and find xxsuch that p(x)=−2.p(x)=−2.
Solution
From the graph, we need to extract two pieces of information:
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Finding : This represents the value of the function when . To find this, we look at where the graph intersects the y-axis (because on the y-axis).
From the graph, at , the red curve crosses the y-axis at . Hence, .
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Finding such that : Here, we need to find the value of where the graph intersects .
Looking at the graph, the red curve crosses the horizontal line when .
So, the answers are:
- when
Do you want more details or have any questions?
Here are 5 related questions you might explore:
- What is the general shape of the graph of a cubic function?
- How do you find the roots of a function from its graph?
- What is the significance of the x-intercept on a graph?
- Can a function have more than one value for ?
- 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.
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Math Problem Analysis
Mathematical Concepts
Graph Interpretation
Function Evaluation
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8