Simplifying Radical Expressions Worksheet With Answers Page 31
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38The parent function
is multiplied by a value less than 1 and is added to the value 1, so the graph is a vertical
stretch of
followed by a reflection across the x-axis, and then a translation 1 unit up. The domain is {x|x ≥
10-2 Simplifying Radical Expressions
0}, and the range is {y|y ≤ 1}.
Determine the domain and range for each function.
68. f (x) = |2x − 5|
SOLUTION:
Since f (x) cannot be negative, the minimum point of the graph is where f (x) = 0.
Make a table of values.
x
0
1
2
3
4
f (x)
5
3
1
1
3
The domain is all real numbers, and the range is {y | y ≥ 0}.
69. h(x) = |x − 1|
SOLUTION:
Since h(x) cannot be negative, the minimum point of the graph is where h(x) = 0.
Make a table of values.
x
–4
–2
0
2
4
h(x)
5
3
1
1
3
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