Question

1-) Find:

Domain

x-int

y-int

VA

HA

Hole

Sign graph

graph

a-) y= 5x-2/x+2

b-) y= (5/x+3) -4

Answer #1

1-) Find:
Domain
x-int
y-int
VA
HA
Hole
Sign graph
graph
a-) y= x2-9/2x+6
b-) y= 3x/x3-x

Find
Domain
x-int
y-int
VA
HA
Hole
Sign graph
graph
a-) y=1/x2+3x-10
b-) y=x+2/(x+2)(x-3)
c-) y=x-1/x2-2x+1
d-) y=-2/x

f(x) = 3x + 2
Domain:
________________________________
Graph:
Range: ________________________________
x-int: ______________ y-int: ______________
Maxima: _______________________________
Minima:
________________________________
Increasing: _____________________________
Decreasing: _____________________________
Constant: ______________________________
End Behavior: ___________________________
Discontinuities: __________________________
Asymptote: _____________________________
Symmetry: _____________________________
f(x) = ½ x – 4
Domain:
________________________________
Graph:
Range: ________________________________
x-int: ______________ y-int: ______________
Maxima: _______________________________
Minima:
________________________________
Increasing: _____________________________
Decreasing: _____________________________
Constant: ______________________________
End Behavior: ___________________________
Discontinuities: __________________________
Asymptote: _____________________________
Symmetry: _____________________________
f(x) = x2 + x + 6
Domain:
________________________________
Graph:...

consider the function
f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and
f''(x)=-10x^2-9x+5/(x^2+1)^5/2
a) find the local maximum and minimum values. Justify your
answer using the first or second derivative test . round your
answers to the nearest tenth as needed.
b)find the intervals of concavity and any inflection points of
f. Round to the nearest tenth as needed.
c)graph f(x) and label each important part (domain, x- and y-
intercepts, VA/HA, CN, Increasing/decreasing, local min/max values,
intervals of concavity/ inflection points of f?

find the area of the region bounded by the graph of
y=x^3-2x^2-x+2 and y=3x^2-5x+2

Find the absolute maximum and minimum of f(x,y)=5x+5y with the
domain x^2+y^2 less than or equal to 2^2
Suppose that f(x,y) = x^2−xy+y^2−2x+2y with
D={(x,y)∣0≤y≤x≤2}
The critical point of f(x,y)restricted to the boundary of D,
not at a corner point, is at (a,b)(. Then a=
and b=
Absolute minimum of f(x,y)
is
and absolute maximum is .

Consider the following. y = 6x^4 − 5x − 1/4 − x^2
A)Find the value of y when x = 1.
y(1) =
B Find dy/dx .
dy/dx =
C Find the exact value of dy/dx when x = 1.
dy/dx =
D Write the equation of the tangent line to the graph of y = 6x4
− 5x − 1 4 − x2 at x = 1. Check the reasonableness of your answer
by graphing both the function and...

The domain of the function g(x) is -1<x<6 and
the range is -5<y<10.
Find the domain and range of the following given functions.
a). the domain of y=g(x-4) is?
b.) the range of y=g(x)+2 is?

Find the domain of the multivariable function
((x^2*y^3)-(y^2+x^2-1)^3))^.5

Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this,
find;
1) domain of f:
2)Vertical asymptotes:
3) Horizontal asymptotes:
4) Intersection in y:
5) intersection in x:
6) Critical numbers
7) intervals where f is increasing:
8) Intervals where f is decreasing:
9) Relatives extremes
Relatives minimums:
Relatives maximums:
10) Inflection points:
11) Intervals where f is concave upwards:
12) intervals where f is concave down:
13) plot the graph of f on the plane:

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