Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Chapter 9: Q2. (page 566)
Use a table of values to graph the given equation. State the domain and range.
Short Answer
The graph of the given function is
The domain is and the range is role="math" localid="1647700209891" .
Step by step solution
Step 1. Define the standard form of the quadratic function.
A quadratic function, which is written in the form, , where,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 .
The range is the set of all the possible values of the dependent variable .
Step 3. Calculate the table of values for the function y=2x2−4x+3.
| 19 | |
| 9 | |
| 0 | 3 |
| 1 | 1 |
| 2 | 3 |
Step 4. Use the table of values to graph the function y=2x2−4x+3.
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=2x2−4x+3.
Observe the graph.
The parabola extends to infinity.
So, the domain is .
The minimum value of the function is 11.
So, the range is .
Therefore, the domain is and the range is .
Over 30 million students worldwide already upgrade their learning with 91影视!
