If f(x) = x^2 - 4x + 3, and the domain is {-2, 0, 1}, what is the range?
1 answer:
Evaluate the function at the three values of the range and see what you get. The appropriate choice is ...
... D) {15, 3, 0}
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Evaluation can sometimes be simpler if you rearrange the function to a form called "Horner's form."
... f(x) = (x -4)x +3
Then the evaluation looks like (for x=-2) ...
... f(-2) = (-2-4)(-2)+3 = (-6)(-2) +3 = 12 +3 = 15
This is sufficient to identify D as the answer of choice.
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Answer:
For linear equations we use:
p=mx+b ------ (1)
Now we have the following coordinates:
(x1,p1)= (1000,280) and (x2, p2)=(5000,400)
First we need slope (m)
m=
=
Now we will plug the value of m in the first equation
=>
=> b = 250
Now plug into p=mx+b using only m=0.03 and b=250
When the unit price is $440, we can plug in 440 in for p;
=>
=>
=> x = 6333 refrigerators
The lowest price at which a refrigerator will be marketed, we can find this by plugging x = 0 in p=mx+b.
=> p = $250