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bixtya [17]
2 years ago
12

As x increases by 1 unit, what is the exponential growth factor??

Mathematics
1 answer:
san4es73 [151]2 years ago
7 0

Given:

The graph of an exponential function.

To find:

The exponential growth factor as x increases by 1 unit.

Solution:

From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.

The general exponential function is:

y=ab^x                 ...(i)

Where, a is the initial value and b is the growth factor.

Putting x=1,y=1 in (i), we get

1=ab^1                  ...(ii)

Putting x=3,y=9 in (i), we get

9=ab^3                  ...(iii)

Divide (iii) by (ii).

\dfrac{9}{1}=\dfrac{ab^3}{ab}

9=b^2

3=b

b is the the growth factor and the value of b is 3.

Therefore, the exponential growth factor is 3 as x increases by 1 unit.

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3 years ago
Please Find the distance between the two points rounding to the nearest tenth (if necessary).
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Answer:

10.29 u

Step-by-step explanation:

<u>Given :- </u>

  • Two points (7,4) and (-2,9) is given to us.

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:\implies D = √{(x2-x1)² + (y2-y1)²}

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3 years ago
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Step-by-step explanation:

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The position of an object along a vertical line is given by s(t) = −t3 + 3t2 + 7t + 4, where s is measured in feet and t is meas
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Answer:

The maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

Step-by-step explanation:

Given : The position of an object along a vertical line is given by s(t) = -t^3+3t^2+7t +4, where s is measured in feet and t is measured in seconds.

To find : What is the maximum velocity of the object in the time interval [0, 4]?

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v(t)= -3(1)^2+6(1)+7

v(t)= -3+6+7

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