<span>f(x)=2x
f(1)=2*1=2
f^2(1)=2*2*1=4
f^3(1) =2*2*2*1=8
1. If you
continue this pattern, what do you expect would happen to the numbers as
the number of iterations grows?
I expect the numbers continue growing multiplying each time by 2.
Check your result by conducting at
least 10 iterations.
f^4(1) = f^3(1) * f(1) = 8*2 = 16
f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32
f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64
f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128
f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256
f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512
f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024
2. Repeat the process with an initial value of −1.
What happens as the number of iterations grows?
f(-1) = 2(-1) = - 2
f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4
f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8
f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16
f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32
As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
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Answer:
Step-by-step explanation:
<em>1.</em> <em>Circle A and circle A', have the same circumference.</em> <em>(Yes)</em>
<em>2.</em> <em>The radii of circle A and circle A', have the same lengths.</em> <em>(Yes)</em>
3. .... (No)
4. ... (No)
Answer:
y = 5x
Step-by-step explanation:
you can use the Slope-Intercept form of a line, which is:
y = mx + b where 'm' is the slope, and 'b' is the y-intercept
to find the slope, select any two points:
we can use (0,0) and (2,10)
now subtract the y-values and the x-values to get this fraction:
slope = 10-0 / 2-0
slope = 10/2 or 5/1
the y-intercept can be seen and is 0
therefore, equation of this line is:
y = 5x + 0 or
y = 5x
Answer:
7 1/20
Step-by-step explanation:
9 2/5 ÷ 1 1/3 = 9 6/15 ÷ 1 5/15
= 141/15 ÷ 20/15
= 141/15 * 15/20
= 141/20
= 7 1/20
Answer:
9, 3, 14
Step-by-step explanation:
3x+x+2x+8=26
6x+8=26
6x=18
x=3
The sides are 9, 3, 14
check the answer by adding 9+3+14=26
