Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x - 2) represents a horizontal translation of f(x) shifted 2 units to the right, thus
The marked points on f(x) → f(x - 2) are
(0, 0 ) → (2, 0 )
(2, 4 ) → (4, 4 )
(3, 9 ) → (5, 9 )
Answer:
What are the options?
Step-by-step explanation:
Answer:
I believe the answer is a Discrete graph.
Step-by-step explanation:
Hope my answer has helped you and if not then I am sorry.
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
