What is the smallest possible degree for the polynomial function above? Explain your reasoning.
1 answer:
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Remember some simle log rules
loga+logb=log(ab)
xloga=loga^x
means 
also, if no base is stated, assume base 10
so
log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x
3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
loga+logb=log(ab)
xloga=loga^x
also, if no base is stated, assume base 10
so
log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x
3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
<h2>Answer:</h2>
The graph on the top left.
<h2>Step-by-step explanation:</h2>f(x) =
That means that when x = 0...
f(0) =
f(0) = -1 - 3
f(0) = -4
So, the function will have a point at (0, -4). We can eliminate the two graphs on the right.
When x = 1...
f(1) =
f(1) = -4 - 3
f(1) = -7
So, the function will have a point at (1, -7). That corresponds to the graph on the top left.
<h2>Hope this helps! </h2>