The values of two functions, f and g, are given in a table. One, both, or neithe

slaggingV

slaggingV

Answered question

2021-09-25

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are.
x21012f(x)31.510.53.510.531.5g(x)0.20.61.85.410.8

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-09-26Added 110 answers

Consider the table of f(x)
x21012f(x)31.510.53.510.531.5g(x)0.20.61.85.410.8
The difference of f(x) is given as
10.531.5=20
3.510.5=7
10.53.5=7
31.510.5=20
Thus, the function f(x) is not growing exponentially and thus exponential function for f(x) doesn't exist.
Hence f(x)=DNE
Consider the table of g(x)
x21012g(x)0.20.61.85.410.8
as we can that g(x) has same multiplier as 3
common ratio
0.60.2=3
1.80.6=3
5.41.8=3
10.85.4=3
Hence common ratio b=3 and initial value is a=1.8
Hence, g(x)=1.8(3)x

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