Math Problem Statement
give me the y intercepts of this graph: g(x)= (x+1) (x-2) (x+5)
Solution
To find the y-intercept of the function , we need to evaluate , since the y-intercept occurs where .
Let's substitute into the equation:
So, the y-intercept is . Therefore, the point of the y-intercept is .
Would you like more details on how this is derived, or do you have any other questions? Here are some related questions you might find useful:
- How do you factor a cubic function like this one?
- What are the roots of the equation ?
- How can you graph a cubic function based on its factors?
- How do you find the x-intercepts of a polynomial?
- What is the general form of a cubic function?
Tip: To quickly find the y-intercept of any function, always set and solve for .
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Functions
Intercepts
Formulas
y-intercept: g(0) = f(0)
Theorems
Fundamental Theorem of Algebra
Suitable Grade Level
Grades 9-12
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