Q5. Consider聽y=x2鈭�7x+6. What are ... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 9: Q5. (page 597)

Consider $y = x^{2} 鈭� 7 x + 6$ . What are the domain and range?

Short Answer

Expert verified

The domain is all real numbers. The range is all real numbers greater than or equal to the minimum value or ${y / y 鈮� 鈭� 6 .25}$ .

Step by step solution

Step 1. Define the concept.

The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible $x$ -values that will make the function "work" and will output real $y$ -values.

Therangeof a function is the complete set of all possibleresulting valuesof the dependent variable ( $y$ ,usually) after we have substituted the domain.

Step 2. Graphical representation of the quadratic function.

Draw the graph of the function: $y = x^{2} 鈭� 7 x + 6$ .

Step 3. State the domain and range of the function.

The function $y = x^{2} 鈭� 7 x + 6$ has the domain as all real numbers. The range is all real numbers greater than or equal to the minimum value. Since the function has a minimum value at $x = 1.5$ . Therefore, the range is ${y | y 鈮� 鈭� 鈥� 6 鈥� .25}$ .

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91影视

Consider $y = x^{2} 鈭� 7 x + 6$ . What are the domain and range?

Short Answer

Step by step solution

Step 1. Define the concept.

Step 2. Graphical representation of the quadratic function.

Step 3. State the domain and range of the function.

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91影视

Considery=x2鈭�7x+6. What are the domain and range?

Short Answer

Step by step solution

Step 1. Define the concept.

Step 2. Graphical representation of the quadratic function.

Step 3. State the domain and range of the function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Logic and Functions

Mechanics Maths

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Consider $y = x^{2} 鈭� 7 x + 6$ . What are the domain and range?