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The given function y = 3x^2 - 3x + 4 is a quadratic function.
The leading coefficient is positive, so the parabola plot is open upward.
The domain of the function is the set of all real numbers. ANSWER
The range is the set of all real numbers from the minimum value (the vertex y-value) to infinity.
The minimum value of this quadratic function is at x = = = .
The minimum y-value is = 3.25.
So the range of the function is [3.25,oo). ANSWER
Solved. // All questions are answered.
Plot of the function y =
On finding the maximum/minimum of a quadratic function see the lessons
- HOW TO complete the square to find the minimum/maximum of a quadratic function
- Briefly on finding the minimum/maximum of a quadratic function
- HOW TO complete the square to find the vertex of a parabola
- Briefly on finding the vertex of a parabola
Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.
Learn the subject from there once and for all.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.