Isometry means lengths are preserved, and hence shapes must remain congruent.
Any dilation, stretching, etc are therefore excluded.
The transformations on the list that are examples of isometry are therefore:
rotation
translation
reflection
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.
Answer:
56lb
Step-by-step explanation:
there are 2000lbs in a ton so a measurement in pounds is more precise
Answer:
5(x−1)(x+4)? i think
Step-by-step explanation:
Answer:133
Step-by-step explanation: