Which algebraic expression is equivalent to the expression below?
2 answers:
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we have that
using a graph tool
see the attached figure
statements
case a) The domain is {x|x ≤ –2}-------> Is False
the domain is all real numbers---------> the interval (-∞,∞)
case b) The range is {y|y ≤ 6}.------> Is True
The range is the interval (-∞,6]
case c) The function is increasing over the interval (–∞ , –2).-----> Is True
See the attached figure
case d)The function is decreasing over the interval (−4, ∞).-----> Is False
In the interval (-4,-2) the function is increasing and in the interval (-2,∞) the function is decreasing (See the attached figure)
case e)The function has a positive y-intercept.------> Is True
The value of y-intercept is
Answer:
12 ; 12 dollars
Step-by-step explanation:
Data provided in the question:
Revenue function, R = 12x
R is in dollars
Now,
The slope can be found out by differentiating the above revenue function w.r.t 'x'
thus,
=
or
slope = 12
Now, for the second case of selling one more unit i.e x = 1, the revenue can be obtained by substituting x = 1 in revenue function
therefore,
R = 12 × 1 = 12 dollars