Answer: Choice A
Note: the range should be 
. See explanation below.
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We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say 
which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that 
and that translates to the interval notation .
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote 
for choice A, when they should have written
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
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").
<em>Here is your answer </em>
<em> x = 17.5</em>
<em>Make as brainliest plzz....</em>
<em>Hope this answer is helpful.</em>...
SOLUTIONS
Given: Assume y is the population
The town grow at the rate of 30 people per year.
(A) The population predicted to be in 2030 will be
(B) so when y = 15000, find t
Answer:
3=x
Step-by-step explanation:
11=3x+2
