A polynomial function has a root of -5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7
. If the function has a negative leading coefficient and is of even degree, which statement about the graph is true?
The graph of the function is positive on (-co, -5).
The graph of the function is negative on (-5,3).
The graph of the function is positive on (-co, 1).
The graph of the function is negative on (3,co).
The graph of the function is positive on (-co, -5).
The graph of the function is negative on (-5,3).
The graph of the function is positive on (-co, 1).
The graph of the function is negative on (3,co).
2 answers:
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See attachment for the graph of the reflection of f(x) across the y-axis
<h3>How to reflect the function?</h3>The function is given as:
f(x) = 1.5(0.5)^x
The rule of reflection across the y-axis is
(x, y) = (-x, y)
So, we have the following equation
f'(x) = 1.5(0.5)^-x
Rewrite the function as
g(x) = 1.5(0.5)^-x
So, we plot the graph of the function g(x)
See attachment for the graph of the reflection of f(x)
Read more about function transformation at:
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