Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Answer:
14.4
Step-by-step explanation:
6 is closer to 40 than to 30
ok so basically x=1/2 which is the exact form. and the decimal form is x=0.5 Step-by-step explanation:
She is wrong because she did the square root of 25 multiplied by 2, she should have just done the square root of 50.
For the second part the square root of 50 is 7.07 which rounding would equal 7.1.
Hope this helps.(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Answer:
<h2>1.65</h2>
Step-by-step explanation:
