Let's you and me discuss a few things that you already know:
-- What's a y-intercept ?
The y-intercept on a graph is the place where it crosses the y-axis.
-- That's the value of 'x' at the y-intercept ?
The y-intercept is on the y-axis, so 'x' is zero there.
-- Good ! So how would you find the y-intercept of a function ?
You say that x=0 and look at what 'y' is.
-- Very nice. What's the function in this question ?
The function is
f(x) [or 'y'] = x⁴ + 4x³ - 12x² -32x + 64 .
-- Excellent. What's the value oif that function (or 'y') when x=0 ?
It's just 64 .
-- Beautiful.
Are there any answer choices that cross the y-axis at 64 ?
How many are there ?
There's only one.
It's the upper one on the right hand side.
Let:
100%---------------->24h
30%------------------>xh
Using cross multiplication:
Round 1 player 1 because 12 is the greatest number
f(3) is equal to -101.
<u>Step-by-step explanation</u>:
- The sequence is followed by f(0)=4
- The given expression is f(n+1)= -3f(n)+1
Put n=0,
f(0+1)= -3f(0)+1
f(1)= -3(4)+1
f(1)= -12+1 = -11
Put n=1,
f(1+1)= -3f(1)+1
f(2)= -3(-11)+1
f(2)= 33+1 = 34
Put n=2,
f(2+1)= -3f(2)+1
f(3)= -3(34)+1
f(3)= -102+1
f(3)= -101
