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Norma-Jean [14]
3 years ago
12

Complete the function table to find the function values of {-1, 7} for f(n) = 2n - 1.

Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

In its broadest definition, “civic education” means all the processes that ... That makes the question of good citizenship relative to the ... These questions are rarely treated together as part of comprehensive theories of civic education; ... of virtue, so would the polis itself become more virtuous and excellent.

Step-by-step explanation:

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How many solutions are there to
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Answer:

C

Step-by-step explanation:

there are infinitely many solutions since different values of x and y will work for this simultaneous equation

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3 years ago
For the function g(x)=3-8(1/4)^2-x
Reika [66]

Using function concepts, it is found that:

  • a) The y-intercept is y = 2.5.
  • b) The horizontal asymptote is x = 3.
  • c) The function is decreasing.
  • d) The domain is (-\infty,\infty) and the range is (-\infty,3).
  • e) The graph is given at the end of the answer.

------------------------------------

The given function is:

g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}

------------------------------------

Question a:

The y-intercept is g(0), thus:

g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5

The y-intercept is y = 2.5.

------------------------------------

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3

--------------------------------------------------

\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty

Thus, the horizontal asymptote is x = 3.

--------------------------------------------------

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

--------------------------------------------------

Question d:

  • Exponential function has no restrictions in the domain, so it is all real values, that is (-\infty,\infty).
  • From the limits in item c, the range is: (-\infty,3)

--------------------------------------------------

The sketching of the graph is given appended at the end of this answer.

A similar problem is given at brainly.com/question/16533631

8 0
2 years ago
Help me with this please
Wewaii [24]
Negative minus negative greater negative get rid of the ()
4 0
3 years ago
What is the difference in the place value between the 2 in 324 and the 2 in 0.324?
mel-nik [20]
The 2 in 324 represents the number 20 out of 300 and 4. With decimal in front, the 2 now represents hundredths of 1.
7 0
3 years ago
Read 2 more answers
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