Q4. 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: Q4. (page 566)

Use a table of values to graph the given equation. State the domain and range.
$y = 鈭� 3 x^{2} 鈭� x + 1$

Short Answer

Expert verified

The graph of the given function is

The domain is $(鈭� 鈭�, 鈥� 鈭�)$ and the range is $[鈭� \frac{13}{12}, 鈥� 鈭�)$ .

Step by step solution

Step 1. Define the standard form of the quadratic function.

A quadratic function, which is written in the form, $y = a x^{2} + b x + c$ , where, $a 鈮� 0$ is called the standard form of the quadratic function.

Step 2. Define the domain and range of a function.

The domain is the set of all of the possible values of the independent variable $x$ .

The range is the set of all the possible values of the dependent variable $y$ .

Step 3. Calculate the table of values for the function y=−3x2−x+1.

$x$	$y$
$- 2$	$- 1$
$- 1$	$- 1$
0	$- 3$
1	$- 7$
2	$- 13$

Step 4. Use the table of values to graph the function y=−3x2−x+1.

Graph the ordered pairs from the table and connect them to create a smooth curve.

Step 5. State the domain and range for function y=−3x2−x+1.

Observe the graph.

The parabola extends to infinity.

So, the domain is $(鈭� 鈭�, 鈥� 鈭�)$ .

The minimum value of the function is $鈭� \frac{13}{12}$ .

So, the range is $[鈭� \frac{13}{12}, 鈥� 鈭�)$ .

Therefore, the domain is $(鈭� 鈭�, 鈥� 鈭�)$ and the range is $[鈭� \frac{13}{12}, 鈥� 鈭�)$ .

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91影视

Use a table of values to graph the given equation. State the domain and range.
$y = 鈭� 3 x^{2} 鈭� x + 1$

Short Answer

Step by step solution

Step 1. Define the standard form of the quadratic function.

Step 2. Define the domain and range of a function.

Step 3. Calculate the table of values for the function y=−3x2−x+1.

Step 4. Use the table of values to graph the function y=−3x2−x+1.

Step 5. State the domain and range for function y=−3x2−x+1.

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91影视

Use a table of values to graph the given equation. State the domain and range.y=鈭�3x2鈭�x+1

Short Answer

Step by step solution

Step 1. Define the standard form of the quadratic function.

Step 2. Define the domain and range of a function.

Step 3. Calculate the table of values for the function y=−3x2−x+1.

Step 4. Use the table of values to graph the function y=−3x2−x+1.

Step 5. State the domain and range for function y=−3x2−x+1.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Discrete Mathematics

Mechanics Maths

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Pure Maths

Study anywhere. Anytime. Across all devices.

Use a table of values to graph the given equation. State the domain and range.
$y = 鈭� 3 x^{2} 鈭� x + 1$