Question 2 of 10These tables of values represent continuous functions. In which table do the values represent an exponential function?A.x y1 42 83 164 325 64B.x y1 82 163 244 325 40C.x y1 122 173 224 275 32D.x y1 92 103 114 125 13
Question
Question 2 of 10These tables of values represent continuous functions. In which table do the values represent an exponential function?A.x y1 42 83 164 325 64B.x y1 82 163 244 325 40C.x y1 122 173 224 275 32D.x y1 92 103 114 125 13
Solution
An exponential function is a mathematical function of the following form:
f(x) = a * b^x
where 'a' is a constant, 'b' is a positive real number, and 'x' is a variable. In an exponential function, the rate of growth is proportional to the function's current value.
Let's examine each table:
A. The ratio between consecutive y-values is 2, which suggests this could be an exponential function with a base of 2.
B. The y-values are not increasing exponentially. The differences between consecutive y-values are not constant, nor are the ratios.
C. The y-values are increasing linearly, not exponentially. The differences between consecutive y-values are constant, but the ratios are not.
D. The y-values are not increasing exponentially. The differences between consecutive y-values are not constant, nor are the ratios.
So, the table that represents an exponential function is Table A.
Similar Questions
Question 8 of 10Select the correct statement about the function represented by the table.x y1 262 443 624 805 98A.It is an exponential function because the factor between each x- and y-value is constant.B.It is a linear function because the y-values increase by an equal difference over equal intervals of x-values.C.It is a linear function because the difference y − x for each row is constant.D.It is an exponential function because the y-values increase by an equal factor over equal intervals of x-values.
Decide whether the data in the table represent a linear function or an exponential function. Explain how you know.x y1 1622 543 184 65 2A.The data represent a linear function because there is a common difference of 108.B.The data represent an exponential function because there is a common ratio of 3.C.The data represent a linear function because there is a common difference of –108.D.The data represent an exponential function because there is a common ratio of 1331 .SUBMITarrow_backPREVIOUS
Question 5 of 10These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?A.x y1 5652 5703 5754 5805 585B.x y1 72 2073 4074 6075 807C.x y1 72 213 634 1895 567D.x y1 3252 4003 4754 5505 625
Find the equation of the exponential function represented by the table below:xx yy00 1111 3322 9933 2727
Find the equation of the exponential function represented by the table below:xx yy00 0, point, 10.111 0, point, 30.322 0, point, 90.933 2, point, 72.7
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