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xz_007 [3.2K]
4 years ago
6

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

Mathematics
1 answer:
Travka [436]4 years ago
4 0
Lim 2^x-3 = lim 2^(1/x^3)  = 2^(1/inf) = 2^0 = 1 

x -> infinity

The function approaches 1
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The image of C reflected across the line x = 3 would have the coordinates ________________.
kipiarov [429]

Using translation concepts, the image of C reflected across the line x = 3 would have the coordinates (4,-2).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a <u>reflection across the line x = 3</u> is given by:

(x,y) -> (3 + |x - 3| , y).

The coordinates of C are C(2,-2), hence:

(2,-2) -> (3 + |2 - 3| , -2) = (4,-2).

The image of C reflected across the line x = 3 would have the coordinates (4,-2).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

3 0
2 years ago
1. Solve &amp; Graph -5 ¾+3h≤ 9 ¼1.
Dennis_Churaev [7]

Answer:

h≤ 2423/492

Step-by-step explanation

3h+ −23/4 ≤ 370/41

3h + −23/4 + 24/4 ≤ 370/41 + 23/4

3h ≤ 2423/164

3h 3 ≤ 2423/164/3

h ≤ 2423/492

Step 1: Add 23/4 to both sides.

Step 2: Divide both sides by 3.

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3 years ago
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Given the function f(x)=x2+2x+1, find: f(2b)
pashok25 [27]

I will do the first one only. The second question is done the same way.

Replace every x you see in the function with 2b and do the math.

f(x) = x^2 + 2x + 1

Let x = 2b

f(2b) = (2b)^2 + 2(2b) + 1

f(2b) = 4b^2 + 4b + 1

Did you follow? That's all there is to it.





4 0
3 years ago
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Nat2105 [25]
.......................:)
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Read 2 more answers
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