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How does g(x)= 2.10 change over the interval from x2 to x - 37g(x) decreases by 10g(x) Increases by a factor of 10g(x) decreases by a factor of 10g(x) increases by 1,000%

How does gx 210 change over the interval from x2 to x 37gx decreases by 10gx Increases by a factor of 10gx decreases by a factor of 10gx increases by 1000 class=

Respuesta :

we are given the function

[tex]g(x)=2\cdot10^x[/tex]

we want to check how the function changes from x=2 to x=3. We will calculate

[tex]\frac{g(3)}{g(2)}[/tex]

to check how it changed. So we have

[tex]\frac{g(3)}{g(2)}=\frac{2\cdot10^3}{2\cdot10^2}=10^{3\text{ -2}}=10[/tex]

which means that g increases by a factor of 10

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