**Finding the Range of a Quadratic Function**Given the quadratic function:\[ y = -3x^2 + 24x - 46 \]**Task:** Determine the range of this function.**Instructions:** Write your answer as an inequality using $ x $ or $ y $, as appropriate. Alternatively, you can select "Empty set" or "All reals" as the answer.**Answer Entry:** To input your answer, use the provided text box. You may also choose from the options "Empty set" or "All reals" if applicable.**Graphical Interface:** - A text box is provided to type in the inequality.- Buttons are available for special set notations: - "Empty set" [∅] - "All reals" [ℝ]**Interactive Features:**- Explanation Button: Provides additional guidance or hints.- Check Button: Allows you to submit your answer to see if it is correct.Understanding the problem requires analyzing the given quadratic equation, typically by finding the vertex, which represents the maximum or minimum value (since the parabola opens downward, it'll be a maximum), and determining the range based on this value.

Given function y=-3x2+24x-46. To find the range of the given quadratic function. Formula used:…

Find the range of the quadratic function. y=-3x²+24x-46 Write your answer as an inequality using x or y'as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer. Explanation J 77°F Partly sunny Check < 20 Emery aut B - X > AI OSO S C2022 McGraw Hill LLC. All Rights Reserve

Find the range of the quadratic function. y=-3x²+24x-46 Write your answer as an inequality using x or y'as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer. Explanation J 77°F Partly sunny Check < 20 Emery aut B - X > AI OSO S C2022 McGraw Hill LLC. All Rights Reserve

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Finding the Range of a Quadratic Function**

Given the quadratic function:

\[ y = -3x^2 + 24x - 46 \]

**Task:**
Determine the range of this function.

**Instructions:**
Write your answer as an inequality using $ x $ or $ y $, as appropriate. Alternatively, you can select "Empty set" or "All reals" as the answer.

**Answer Entry:**
To input your answer, use the provided text box. You may also choose from the options "Empty set" or "All reals" if applicable.

**Graphical Interface:**
- A text box is provided to type in the inequality.
- Buttons are available for special set notations:
- "Empty set" [∅]
- "All reals" [ℝ]

**Interactive Features:**
- Explanation Button: Provides additional guidance or hints.
- Check Button: Allows you to submit your answer to see if it is correct.

Understanding the problem requires analyzing the given quadratic equation, typically by finding the vertex, which represents the maximum or minimum value (since the parabola opens downward, it'll be a maximum), and determining the range based on this value.

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