Math Problem Statement
WRONG: Answer Explanation Correct answer: [ − 2 , 2 ]
[ − 6 , − 2 ]
A function will be one-to-one if it passes the horizontal line test. We can make the function shown pass the horizontal line test by taking either half of the graph (where it is increasing, or where it is decreasing).
So we can either take the left half, which is the interval
[
−
6
,
−
2
]
, or the right half, which is the interval
[
−
2
,
2
]
.
Note: we could also take our domain to be an interval which is contained in the left or right half, for instance
[
−
5
,
−
3
]
or
[
−
1
,
1
]
, but typically we want to choose a domain which has all the values of
f
(
x
)
as its corresponding range.
Your answer: [ − 6 , − 2 ]
[ − 5 , − 1 ]
Solution
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Math Problem Analysis
Mathematical Concepts
Functions
One-to-One Functions
Horizontal Line Test
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
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