Math Problem Statement
What is the range
Solution
The image shows a graph with a parabola opening upwards. The vertex of the parabola appears to be at the point (0, -2), and the parabola extends infinitely upward.
Determining the Range:
- Range: The range of a function is the set of all possible -values that the function can take.
- Since the vertex of the parabola is the lowest point, the -values start from and increase infinitely upwards.
Thus, the range of this parabola is:
This means that the function can take any -value starting from and extending to positive infinity.
Would you like to explore further? Here are some related questions:
- How do you find the vertex of a parabola given its equation?
- What is the general form of a quadratic equation?
- How do the coefficients in a quadratic equation affect the shape of the parabola?
- What are the domain and range of a quadratic function?
- How do you determine the direction in which a parabola opens?
Tip: When determining the range of a quadratic function from its graph, look at the vertex and the direction the parabola opens. If it opens upwards, the range starts from the y-coordinate of the vertex and goes to infinity. If it opens downwards, the range goes from negative infinity up to the y-coordinate of the vertex.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Graphing
Quadratic Functions
Range
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12