Q1. Use a table of values to graph t... [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: Q1. (page 597)

Use a table of values to graph the following functions. State the domain and range.
$y = x^{2} + 2 x + 5$

Short Answer

Expert verified

The graph of the function is:

The domain is all real numbers and the range is ${y | y 鈮� 4}$ .

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. Make a table to calculate points on the graph.

For the equation, $y = x^{2} + 2 x + 5$ ,make a table to get some points on the graph.

$x$	$y = x^{2} + 2 x + 5$	$(x, y)$
0	$y = 0^{2} + 2 (0) + 5 = 5$	$(0, 5)$
role="math" localid="1648204417494" $- 2$	$y = {(鈭� 2)}^{2} + 2 (鈭� 2) + 5 = 5$	$(鈭� 2, 5)$
$- 5$	$y = {(鈭� 5)}^{2} + 2 (鈭� 5) + 5 = 20$	$(鈭� 5, 20)$
1	$y = {(1)}^{2} + 2 (1) + 5 = 8$	$(1, 8)$
3	$y = {(3)}^{2} + 2 (3) + 5 = 20$	$(3, 20)$

Graph the ordered pairs, and connect them to create a smooth curve. The parabola extends to infinity.

Step 3. Graph the equation and write domain and range.

Graph the ordered pairs, and connect them to create a smooth curve. The parabola extends to infinity.

The domain is all real numbers. The range is all real numbers greater than or equal to the minimum value or $\{y | y 鈮� 4\}$ .

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

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Use a table of values to graph the following functions. State the domain and range.
$y = x^{2} + 2 x + 5$

Short Answer

Step by step solution

Step 1. Define the concept.

Step 2. Make a table to calculate points on the graph.

Step 3. Graph the equation and write domain and range.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Applied Mathematics

Logic and Functions

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

91影视

Use a table of values to graph the following functions. State the domain and range.y=x2+2x+5

Short Answer

Step by step solution

Step 1. Define the concept.

Step 2. Make a table to calculate points on the graph.

Step 3. Graph the equation and write domain and range.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Applied Mathematics

Logic and Functions

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Use a table of values to graph the following functions. State the domain and range.
$y = x^{2} + 2 x + 5$