Answer:
(0,0) (1,2) (2,4) (3,6)
Step-by-step explanation:
They all share the same slope which is 1/2
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:
Increased by, added, brought up (All I know of haha)
Step-by-step explanation:
Theres really no explanation to this other than learning your mathematical terms.
The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.
In this problem:
- The percentage of smokers in 2014 was 16.7%, hence the initial value is
- The percentage is decreasing by 5.6% each year, hence the slope is
.
Then, the <em>equation </em>is:
You can learn more about linear functions at brainly.com/question/24808124
