Answer:
The commutative property of multiplication states that changing the order of the numbers we are multiplying, does not change the product.
-25x + 40
Step-by-step explanation:
-8 (4x-5) + 7x
-32x + 40 + 7x
-32x +7x + 40
-25x + 40
Given the functions
(a) f(x) = x³ + 5x² + x
(b) f(x) = x² + x
(c) f(x) = -x
Function (a)
f(-x) = (-x)³ + 5(-x)² + (-x)
= -x³ + 5x² - x
= -(x³ - 5x² + x)
The function is neither even nor odd.
Function (b)
f(-x) = (-x)² + (-x)
= -(-x² + x)
The function is neither even nor odd.
Function (c)
f(-x) = -(-x)
= x
= -f(x)
Because f(-x) = -f(x) the function is odd.
Answer: f(x) = -x is an odd function.