f(x)=4.5x+b for some constant b
Since f(4)−f(6)=9, we can plug in x=4 and x=6 into the function to get:
f(4)=4.5(4)+b
f(6)=4.5(6)+b
Now we can substitute these values back into the original equation:
f(4)−f(6)=9
4.5(4)+b - (4.5(6)+b) = 9
18+ b - 27 - b = 9
-9 = 9
This is a contradiction, so the function cannot be f(x)=4.5x+b for some constant b.
A function is given such that f(4)−f(6)=9. If the function is linear, which of the following could the function possibly be?(1 point)
Responses
f(x)=4.5x+b for some constant b
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f left parenthesis x right parenthesis equals 4.5 x plus b for some constant b.
f(x)=−9x+b for some constant b
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f left parenthesis x right parenthesis equals negative 9 x plus b for some constant b.
f(x)=9x+b for some constant b
.
f left parenthesis x right parenthesis equals 9 x plus b for some constant b.
f(x)=−4.5x+b for some constant b
.
1 answer