Math Problem Statement
Solution
Looking at the graph, we see a parabola opening upwards. The vertex of the parabola appears to be at the point (2, -3). Since the parabola opens upwards, the lowest value on the graph is -3, and the function continues to increase without bound.
Thus, the range of the function is all real numbers greater than or equal to -3.
The correct answer is:
- All the real numbers greater than or equal to -3.
Would you like any further details on this? Here are some related questions to explore:
- How do you determine the vertex of a quadratic function from its graph?
- What is the domain of this quadratic function?
- How can we express this quadratic function algebraically based on the graph?
- What are the zeros (x-intercepts) of the function from the graph?
- How does the direction in which a parabola opens affect its range?
Tip: When identifying the range of a quadratic function, focus on the direction the parabola opens and the y-coordinate of the vertex.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Graphing Parabolas
Formulas
Standard form of a quadratic function: y = ax^2 + bx + c
Theorems
Properties of parabolas
Vertex theorem
Suitable Grade Level
Grades 8-10