The graph of f(x) is shown. which graph represents g(x) = f(2x)
2 answers:
Answer:
graph would be B.
Step-by-step explanation:
Given : graph of f(x) is shown.
To find : which graph represents g(x) = f(2x) .
Solution : We have given that graph of f(x).
We need to find graph of g(x) = f(2x).
By the transformation rule : f(ax) if a > 1 then graph would be compress horizontal by factor .
Then graph of f(x) would be compress horizontal by .
Where a = 2 .
Therefore, graph would be B.
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Answer:
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
to find the eigenvalues of the matrix you use the following:
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
and by taking the determinant:
and the roots of this polynomial is:
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)