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Sagot :
Answer:
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Step-by-step explanation:
Answer:
Exponential
Step-by-step explanation:
Using the linear function formula for x,y
[tex] y = mx + b[/tex]
where m is the slope and y is the y intercept.
Using the exponential function for x and y
[tex]y = ab {}^{x} [/tex]
where a is the initial value, b is the factor.
We would plug the follow x and y values into the table to see if it true for all of the other x and y values.
To keep thing short, linear function is not the answer becuase the function doesnt Maintain a consistent average rate of change so it cant be that.
Let see if it a exponential function.
plug in 0 and -2 into exponetial formula
[tex] - 2 = ab {}^{0} [/tex]
[tex] - 2 = a[/tex]
Now, let use another pair of point to see if this is true.
[tex]y = - 2b {}^{x} [/tex]
Use 1 and -6
[tex] - 6= - 2b {}^{1} [/tex]
[tex]3 = b {}^{1} [/tex]
Our exponetial equation is
[tex]y = - 2(3) {}^{x} [/tex]
Let plug in -2,18 to see if it true.
[tex] - 18 = - 2(3) {}^{2} [/tex]
[tex] - 18 = - 2 \times 9[/tex]
[tex] - 18 = - 18[/tex]
so it is exponential
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