The graph will cover all possible values of x, so the domain is all real numbers. The graph will go no lower than y = 8,
Study Guide and Review - Chapter 9
0}.
so the range is {y | y
51. f (x) = |2x − 2|
SOLUTION:
Since f (x) cannot be negative, the minimum point of the graph is where f (x) = 0.
Make a table of values. Be sure to include the domain values for which the function changes.
x
−1
0
1
2
3
f (x)
4
2
0
2
4
The graph will cover all possible values of x, so the domain is all real numbers. The graph will go no lower than y = 0,
0}.
so the range is {y | y
52.
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
−2
−1
0
1
2
f (x)
−4
−3
−2
3
6
Notice that both functions are linear.
The graph will cover all possible values of x, so the domain is all real numbers. The graph excluded y-values between
−1 and 3. Thus, the range is {y | y < −1 or y
3}.
53.
eSolutions Manual - Powered by Cognero
Page 30
SOLUTION:
This is a piecewise-defined function. Make a table of values. Be sure to include the domain values for which the