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 $\{y | y 鈮� 4\}$ .

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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.

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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

Pure Maths

Geometry

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Logic and Functions

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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