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Leona [35]
3 years ago
10

Which statement describes the end behavior of the exponential function f(x) = 2x – 3?

Mathematics
2 answers:
charle [14.2K]3 years ago
3 0
The <u>correct answer</u> is:

As x→-∞, y→-3.
As x→∞, y→∞.

Explanation:

As our values of x get further into the negative numbers, the value of 2ˣ will approach 0.  This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.  

This will make the value of the function 0-3=-3.

As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well.  Since it continues to grow exponentially, we say the value approaches ∞.
VashaNatasha [74]3 years ago
3 0

Answer:

For very high x-values, f(x) moves toward positive infinity.

For very low x-values, f(x) moves towards negative infinity.

Step-by-step explanation:

Here, the given function,

f(x) = 2x - 3

Which is a polynomial function,

Since, the end behaviour of a polynomial depends upon the leading coefficient and degree of the polynomial,

If degree = odd and leading coefficient = positive,

Then end behaviour of the function f(x) is,

f(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty

f(x)\rightarrow +\infty\text{ as }x\rightarrow +\infty

∵ Here, the degree is odd ( 1 ) and leading coefficient = 2 ( even )

Thus, the above end behaviour is also the end behaviour of the given function.

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Answer:

what are the things at the end.

Step-by-step explanation:

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3 years ago
There are many ways to measure the reading ability of children. Research designed to improve reading performance is dependent on
ELEN [110]

Answer:

A 90% confidence interval to estimate the mean DRP score in Henrico County Schools  is =32±2.7280

i.e. C.I.  [29.3,34.7]

Hence the results are not significant.

Step-by-step explanation:

Given:

Total no of students =44

True mean =32

Standard deviation=11

And all 4 students score also given.

To Find:

90 % confidence interval and conclusion on it.

Solution:

Here for C.I. we required mean, standard deviation and no of students.

So mean =32,S.D.=11 and n=44

Therefore , For 90 % interval Zscore is Z=1.645

C.I.=mean±Z[Standard  deviation/Sqrt(n)]

=32±1.645[11/Sqrt(44)]

=32±1.645[1.6583]

=32±2.7280

i.e. C.I.  [29.3,34.7]

Now Here to commit on calculated interval we should check  value of Z-score

So we need to calculate the sample mean.

Sample mean =Sum of all values /Total no of values.

=[40+ 26 +39+ 14+ 42+ 18 +25+ 43+ 46 +27 +19+ 47+ 19 +26+ 35 +34+ 15+ 44 40+ 38+ 31+ 46 +52 +25+ 35 +35+ 33 +29 +34 +41 +49+ 28+ 42+ 47 +35 +48 +22 33+ 41 +51 +27 +14+ 54 +45]/44

=34.86

Z-score=(sample mean -true mean)/[standard deviation/Sqrt(n)]

=(34.86-32)/[11/Sqrt(44)]

Z=1.72465

For ,

P(Z≥1.72465)=0.08544

For 0.05 significance level  the results are not significant at  p<0.01.

Researcher claimed mean is not correct upto 0.05 significant level

i.e calculated mean and Sample mean are different.

Hence the results are not significant.

6 0
3 years ago
A recipe calls for blueberry muffins cost for 2 3/4 cup of blueberries. You are making 1/3 of the recipe. How much blueberries s
tester [92]

Answer: 8/9 cups

Step-by-step explanation:

The word 'of' means 'times' as far as fractions are concerned. In this case, we have 1/3 of 2 1/3.

First, it is a good idea to make 2 1/3 an improper fraction - as 8/3, so now we have:

1/3 of 8/3, but since 'of' means 'times' we have,

1/3 x 8/3 = 8/9

The answer is 8/9 cups.

7 0
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Please answer quickly
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Answer:

72 cubic ft

Step-by-step explanation:

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5 0
3 years ago
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Question 1 of 10<br> Which of the following is most likely the next step in the series?
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Answer:

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