Answer:
You can visualize this easily.
y=f(x+h)
Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)
The function y acquires the value of f(x) at (x−h) amounting to a left shift.
Hope this makes things clear.
Step-by-step explanation:
Answer:
its a
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Answer:
an = 2(−4)^(n − 1); all integers where n ≥ 1
Step-by-step explanation:
The equation has the form ...
an = a1(r)^(n-1) . . . . . where a1 is the first term and r is the common ratio.
The first term is given as 2, and the ratio will be the ratio of the first two terms:
r = (-8)/(2) = -4
Terms are numbered starting with n=1, so the formula is ...
an = 2(-4)^(n-1) for n≥1
Answer:
D: 0 and 1
Step-by-step explanation:
Function is defined by;
f(x) = 3x^(5) - 5x⁴
Now, an inflection point will be a point on the graph where the inflection or concavity changes.
Thus, let's find the derivatives until we get there;
f'(x) = 15x⁴ - 20x³
f''(x) = 60x³ - 60x²
So factorizing gives;
f''(x) = 60x²(x - 1)
At f''(x) = 0, we have; x = 0 or x = 1
Thus, the x coordinates of points of inflection are 0 & 1
