SOLUTION: f(x)= x-5 (divied by) 4-x^2
x - intercept(s):
y - intercept:
Vertical Asymptote(s):
Horizontal Asymptote(s):
Domain:
End-Behavior:
Intervals of Increasing/Decre
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Question 1177854: f(x)= x-5 (divied by) 4-x^2
x - intercept(s):
y - intercept:
Vertical Asymptote(s):
Horizontal Asymptote(s):
Domain:
End-Behavior:
Intervals of Increasing/Decreasing:
Intervals of Positive/Negative:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
x - intercept(s):
set
..........since denominator cannot be zero, use numerator only
=>
x - intercept is at (,)
y - intercept:
set
y - intercept is at (,)
Vertical Asymptote(s):
.......set denominator equal to zero
=>=> and
Horizontal Asymptote(s):
Degree of numerator is less than degree of denominator: horizontal asymptote at .
Domain:
{ element : and }
or
range:
Rewrite the above equation for x in standard form and solve using quadratic formulae
-> a=y, b=1, c=-(4y+5)
Find the discriminant to the above equation
.............=
.............=
Using the quadratic formulas, the above equation gives the solutions
The solutions are real if and ≠.
Hence we need to solve the inequality
and solution will be
End-Behavior:
function end-behavior of :
as , , and
as ,
Intervals of Increasing/Decreasing:
If ' then is increasing
If ' then is decreasing
...derivate
'
Increasing , and ,
Decreasing:
Intervals of Positive/Negative:
positive when U
negative when
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