Math Problem Statement
When x=-3 what how do you evaluate the function f(x)=-x^2+5
Solution
To evaluate the function when , follow these steps:
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Substitute into the function:
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First, calculate , which is :
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Now, add and :
So, when , the value of the function is .
Would you like a more detailed explanation or have any questions?
Here are 5 related questions:
- What is the vertex of the function ?
- How do you determine the domain and range of ?
- What happens to when ?
- Can you explain how the graph of looks?
- How do you solve for ?
Tip: In quadratic functions like , the negative sign in front of flips the parabola downward.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Function Evaluation
Formulas
f(x) = -x^2 + 5
Theorems
Basic function evaluation
Properties of quadratic functions
Suitable Grade Level
Grades 7-9