What is 17-4x=1-4x+12-2x
1 answer:
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Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
This is the equation of the given line in slope intercept form
The slope is
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
therefore
The slope of the line parallel to to the given line is
step 3
Find the equation of the line in point slope form
we have
substitute
step 4
Convert to slope intercept form
isolate the variable y
Well, is the function continuous? yes, is a cubic one, you can graph it if you wish, is continuous all the way, and of course at [ 0, 4] too.
is it differentiable? you can always look at the graph between 0,4 and is a smooth transition line, thus yes, it is differentiable, but let's check anyway,
its derivative has no asymptotes and therefore no "cusps", so yes, is differentiable all around.
is f(0) = f(4), let's check
f(0) = 0+0+0+3, f(0) = 3
f(4) = 64 - 16 - 48 + 3, f(4) = 3
yeap
there must then be a "c" value(s) with a horizontal tangent slope, let's check, is really just the critical points.
is it differentiable? you can always look at the graph between 0,4 and is a smooth transition line, thus yes, it is differentiable, but let's check anyway,
is f(0) = f(4), let's check
f(0) = 0+0+0+3, f(0) = 3
f(4) = 64 - 16 - 48 + 3, f(4) = 3
yeap
there must then be a "c" value(s) with a horizontal tangent slope, let's check, is really just the critical points.