/*! 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} Q3. Consider聽y=x2鈭�7x+6. Determine... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q3. (page 597)

Considery=x2鈭�7x+6. Determine whether the function has a maximum or minimum value.

Short Answer

Expert verified

The function y=x2鈭�7x+6hasa minimum value.

Step by step solution

01

Step 1. Define the concept.

In a quadratic equation y=ax2+bx+c, if the coefficient of x2is positive, then the graph of the parabola is upward open and vertex is at the minimum and if the coefficient of width="17">x2is negative, then the graph of the parabola is downward open and vertex is at maximum.

02

Step 2. Graphical representation of the quadratic function.

The graph of any quadratic function is a parabola.

y=ax2+bx+c(a is positive) 鈥� minimum

y=ax2+bx+c(a is negative) 鈥� maximum

03

Step 3. State whether the function has a maximum or minimum value.

The function y=x2鈭�7x+6, the coefficient of x2is positive; it is upward open, so it has a minimum value.

Therefore, the function y=x2鈭�7x+6has a minimum value.

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

Look for a pattern in each table of values to determine which kind of model best describes the data. Then write an equation for the function that models the data.

x01234
y13579

The population of bacteria in a petri dish increases according to the modelp=550(2.7)0.008t, wheretis the number of hours and t=0corresponds to1:00P.M. Use this model to estimate the number of bacteria in the dish at 5:00P.M.

Consider y=x2鈭�5x+4

Graph the function.

Consider y=x2鈭�5x+4

Find the coordinates of the vertex. Is it a maximum or minimum point?

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

The graph of a quadratic function is a straight line.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Statistics

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.