/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 48 Give the domain and the range of... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 48

Give the domain and the range of each quadratic function whose graph is described. Minimum \(=18\) at \(x=-6\)

Short Answer

Expert verified
The domain of the function is \(-\infty < x < \infty\) or all real numbers. The range of the function is \(18 \leq y < \infty\).

Step by step solution

01

Identify Domain

The domain of any quadratic function is all real numbers, as a quadratic function includes all x-values. We write this as \(-\infty < x < \infty\).
02

Analyze the given point

Since a minimum point is given, we know that the parabola opens upwards. The lowest point it reaches (the vertex) is the minimum. Beyond this point, the function continues upwards towards positive infinity.
03

Identify Range

As the parabola opens upwards and the minimum value is 18, the range, which is all possible y-values, is \(18 \leq y < \infty\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Will help you prepare for the material covered in the next section. Simplify: \(\frac{x+1}{x+3}-2\)

What is a rational function?

Solve: \(\sqrt{x+7}-1=x\)

Find the horizontal asymptote, if there is one, of the graph of rational function. $$f(x)=\frac{-2 x+1}{3 x+5}$$

Use inspection to describe each inequality's solution set. Do not solve any of the inequalities. $$(x-2)^{2} \leq 0$$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.