Math Problem Statement
graph the function. Given the domain and range f(x)=xsquared+2
Solution
Here is the graph of the function . The parabola has its vertex at , and it opens upwards. The domain is , and the range is .
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Related Questions:
- How would the graph change if the function were ?
- What is the effect of changing the constant 2 to 5 in ?
- How do you find the vertex of any quadratic function?
- What are the roots (if any) of the function ?
- How does the graph change if the coefficient of becomes negative?
Tip:
For any quadratic function , the vertex can be found using .
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Quadratic Functions
Graphing
Formulas
f(x) = x^2 + 2
Domain: (-∞, ∞)
Range: [2, ∞]
Theorems
Vertex of a parabola
Quadratic function behavior
Suitable Grade Level
Grades 8-10