To Graph and Find:
Graph the function and state the domain and range.
Answer to Problem 14PPS
Domain is all real numbers.
Range is all integral multiples of 0.5 .
Explanation of Solution
Given Information:
Given equation is :
Concept Used :
Step Function:
The graph of a step function is a series of line segments .Because each part of a step function is linear , this type of function is called a
One example of a step function is the
Greatest Interger Function, written as
Greatest Integer Function:
Parent Function :
Type of Graph : disjointed line segments
Domain : All real numbers
Range : All integers
Graph :
Calculation:
Make a table of values for :
x | ||
0 | 0 | 1 |
0.5 | 0 | 1 |
1 | 0.5 | 1.5 |
1.5 | 0.5 | 1.5 |
2 | 1 | 2 |
2.5 | 1 | 2 |
3 | 1.5 | 2.5 |
Now, plotting the values of x and h(x) , we get our graph
For the domain, wee see x- coordinate values. Because the dots and circles overlap , the domain is all real numbers .
For range, we see y -coordinate values. So, the range is all integral multiples of 0.5 .
Chapter 4 Solutions
Algebra 1
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