Can Somebody Solve This Equation ?
2 answers:
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Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and is the decay factor and
is the growth factor.
The exponential function passes through the point (0,6). Substituting in (i), we get
The exponential function passes through the point (1,2). Substituting in (i), we get
Here, lies between 0 and 1. Therefore, the decay factor of the given exponential function is
.
Hence, the correct option is A.
In this question, we have to identify the zeros of the polynomial, along with a point, and then we get that the formula for the polynomial is:
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Equation of a polynomial, according to it's zeros:
Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.
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Identifying the zeros:
Given the graph, the zeros are the points where the graph crosses the x-axis. In this question, they are:
Thus
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Leading coefficient:
Passes through point (2,-8), that is, when , which is used to find a. So
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Considering the zeros and the leading coefficient, the formula is:
A similar problem is found at brainly.com/question/16078990