What is the range of the function g(x)=4x−5 when the domain is {-1, 0, 2}?
2 answers:
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Answer:
Step-by-step explanation:
Let the x-axis be the time (in years) and the y-axis the value of the fax machine (in dollars).
We know that the initial value of the fax machine is $100; in other words, when the time is zero years, the value is $100, or as an ordered pair (0, 100). We also know that after 1 year the value decreases to $80, so (1, 80).
Now we can find the slope of the line passing through those two points using the slope formula
where
is the slope
are the coordinates of the first point
are the coordinates of the second point
Replacing values:
Now, to complete our model we are using the point slope formula
where
is the slope
are the coordinates of the first point
Replacing values:
We can conclude that the correct linear depreciation model is
Answer:
Step-by-step explanation:
First we need to determine the equation of the boundary line.
The line has y-intercept of c=7 and slope .
The slope is given by y=mx+c.
We substitute the slope and intercept to get:
.
Since the lower half plane is shaded, with the boundary being a dashed line, the required inequality is