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iris [78.8K]
2 years ago
13

What is the range of this function?

Mathematics
2 answers:
Vikentia [17]2 years ago
3 0
The range is the possible outputs of the inputs so they are
-8,-3,5,7
tatuchka [14]2 years ago
3 0

Answer:  The correct option is (B) {-8, -3, 5, 7}.

Step-by-step explanation:  We are given to find the range of the function shown in the figure.

We know that

the range of a function is the set of all the elements of the co-domain which are associated to at least one of the elements of the domain.

From the given figure, we note that

Domain, D = {6, 8, 10, 12},

Co-domain , C= {-8, -3, 5, 7].

Also, the set of elements that are associated to some elements of the domain is given by

R = {-8, -3, 5, 7}.

Thus, the required range of the given function is {-8, -3, 5, 7}.

Option (B) is CORRECT.

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Answer: a) -6, b) 32, c) -48, d) 9, e) -12

Step-by-step explanation:

Since we have given that

A and B are 4 × 4 matrices.

Here,

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Since we know that

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d) \bold{det(A^TA)}

Since we know that

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so, it becomes,

\mid A^TA\mid=\mid A^T\mid \times \mid A\mid=-3\times -3=9

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As we know that

\mid B^{-1}\mid =\mid B\mid

so, it becomes,

\mid B^{-1}AB}\mid =\mid B^{-1}.\mid \mid A\mid.\mid B\mid=2\times -3\times 2=-12

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