The easiest way to prove equivalence is to draw out a truth table and then compare the values. I'm going to show a truth table using proposition logic, it's the same result as using predicate logic.
P(x) v Q(x)
P |Q || PvQ || ~Q->P <----Notice how this column matches the PvQ but if you were to
---|---||--------||---------- <----continue the truth table with ~P->Q it would not be equivalent
T T T T
T F T T
F T T T
F F F F
Let me know if you would like an example, if the truth table doesn't help.
Answer:
g(x) = |1/3x|
Step-by-step explanation:
f(x) = |x|
y = f(Cx) 0 < C < 1 stretches it in the x-direction
g(x) = |1/3x|
-60 miles per hour
-12 customers per day
-2.5 meters per second
-$1.59 per pound
You divide the first number by the second number for all of these
The axis of symmetry would be -3 because it is always the (x) of the vertex
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