Simplifying Radical Expressions Worksheet With Answers Page 32
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38The domain is all real numbers, and the range is {y | y ≥ 0}.
10-2 Simplifying Radical Expressions
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
The domain is all real numbers, and the range is {y | y ≥ 0}.
70.
SOLUTION:
This is a piecewise-defined function. Make a table of values. Be sure to include the domain values for which the
function changes.
x
-1
0
1
2
3
g(x)
-2
-1
0
1
-5
Notice that both functions are linear.
The domain is all real numbers, and the range is {y | y ≤ 1}.
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Page 32
Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary.
2
71. x
− 25 = 0
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