Concept explainers
To Find :
The domain and range.
Answer to Problem 31PPS
Domain is all real numbers.
Range =
Explanation of Solution
Given Information:
The graph is given below:
Concept Used:
Let the function be:
In its simplest form the domain is all the values that go into a function, and the range is all the values that come out.
DOMAIN:
The domain is the set of all possible x -values which will make the function "work", and will output real y -values.
HOW TO FIND DOMAIN:
In general, we determine the DOMAIN of each function by looking for those values of the independent variable (usually x ) which we are allowed to use. (Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign).
RANGE:
The range is the resulting y- values we get after substituting all the possible x -values.
HOW TO FIND RANGE:
- The RANGE of a function is the spread of possible y -values (minimum y -value to maximum y -value)
- Substitute different x -values into the expression for y to see what is happening.
- Make sure you look for minimum and maximum values of y .
Calculation :
This is absolute value function with minimum value at y = 4.
The x -coordinate values specify the domain of the function . Since the graph covers all possible values of x , the domain is all real numbers.
The y -coordiante values specify the range of the function . Since , the graph does not take any value less than y = 4 , the range is =
Chapter 4 Solutions
Algebra 1
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