Functions : Range of a function
Question 2
The range of the function

is
- [1,
)
- (1,
]
- [1,
]
- [0, 3]
Correct Answer is (1,

]. Choice (2)
Explanatory Answer
The expression can also be written as 1 +

or 1 +

.
The lower bound of this expression is 1, while the upper bound is reached when x = -2.
The expression will always be greater than 1, so the lower bound is non-inclusive.
The upper bound of

can be reached when x = -2.
The correct range is (1,

], or choice (2).
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