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Concept explainers
Use a table of values to graph each equation. State the domain and range.
![Check Mark](/static/check-mark.png)
Answer to Problem 2PT
The domain is all real numbers. The range is all real numbers greater than or equal to the minimum value or
Explanation of Solution
Given:
The equation:
Concept Used:
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 which will make the function "work", and will output real y-values.
The range of a function is the complete set of all possible resulting values of the dependent variable ( y, usually), after we have substituted the domain.
Calculation:
The equation:
Make table to get some points on the graph
x | (x, y) | |
− 1 | (− 1, 3) | |
0 | (0 , 1 ) | |
1 | (1, 0) | |
1.5 | (1.5, 1) |
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 | ![]() |
Thus, the domain is all real numbers. The range is all real numbers greater than or equal to the minimum value or
Chapter 9 Solutions
Algebra 1
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