Respuesta :
Analyzing the function f(x) = -2•x³ + 5•x² - 3•x + 1, using the criteria f(x) = f(-x) for even functions and f(x) = -f(-x) for odd functions, gives the correct option as the option
A. Neither even or odd
What are the the differences between even and odd functions?
An even function satisfy the equation f(x) = f(-x)
An even function is one that is symmetrical about the y-axis
An odd function satisfy the equation f(x) = -f(-x)
The shape graph of an odd function is inverted as it crosses the y-axis.
Analyzing the function f(x) = -2•x³ + 5•x² - 3•x + 1 gives;
f(1) = -2•1³ + 5•1² - 3•1 + 1 = -1
f(-1) = -2•(-1)³ + 5•(-1)² - 3•(-1) + 1 = 11
f(1) ≠ f(-1)
-f(-1) = -2•(-1)³ + 5•(-1)² - 3•(-1) + 1 = 11
f(1) ≠ -f(-1)
The function is therefore;
- A. Neither even or odd
Learn more about the graphs of functions here:
https://brainly.com/question/17089414
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