QuestionDefine the function : (a) Write as ordered pairs. (b) State the domain and range. Given: .
Studdy Solution
STEP 1
Assumptions1. The function g is defined at three points -3,0, and3. . The value of g at these points is -.
STEP 2
We can represent a function as a set of ordered pairs, where the first element of each pair is an input to the function and the second element is the corresponding output.In general, if a function g is defined such that g(x) = y, then the ordered pair (x, y) is part of the function.
STEP 3
Given that g(-3) = -2, g(0) = -2, and g(3) = -2, we can write these as ordered pairs (-3, -2), (0, -2), and (3, -2) respectively.
STEP 4
So, the function g can be written as a set of these ordered pairs(b) Give the domain and range of .
STEP 5
The domain of a function is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).
STEP 6
Looking at our set of ordered pairs, we see that the domain (the first elements of the pairs) is {-3,0,3}.
STEP 7
Similarly, the range (the second elements of the pairs) is {-2}, since -2 is the only output value.
So, the domain of g is {-3,0,3} and the range of g is {-2}.
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