Domain & Range
End Behavior
Polynomials
Factoring
Misc.
100
It is the domain of the function
f(x) = sqrt[4 - x^4]
What is
(-sqrt 2, sqrt 2)
100
where do I look to determine the right hand end behavior.
The sign of the leading coefficient
100
(u-4)-(6+3u2-4u)
-3u2+5u-10
100
Factor the polynomial
4n^2-36
4(n-3)(n+3)
100
It is the quotient of 2x3-19x2-16x+60 and (x - 10)
What is 2x^2 + x - 6
200
It is the domain of the function
f(x) = e^(-x^2).
What is
(- inf, + inf)
200
where do I look to determine the left hand end behavior.
whether the degree is odd or even
200
They are the roots of
(z-7)(z3 - 16)
What is
z = 7, 2 cube root (2)
200
factor
x^3-64
(x-4)(x^2+4x+16)
200
In which interval(s) is the function increasing?
(-1,0) and (1.5,oo)
300
It is the range of this function.
f(x)=x4-3x2+log x
What is
(- inf, + inf)
300
Does the left end behavior match the right end behavior? or is it opposite?
-5x4+9x-2
Matches
right end behavior is down.
Left is also down.
300
It is this polynomial simplified
(g+5)+(2g^2+7)(g)
What is
2g3+8g+5
300
factor
216x4+8x
8x(3x+1)(9x^2-3x+1)
300
In which intervals is the function decreasing?
(-oo ,-1.25) (1.75,3.4)
400
It is the domain of the function
f(x)=x^3 - sqrt x
What is
[0, inf)
400
What is the end behavior of the graph?
3x^3-2x+10
Left down, right up
x to -oo, y to-oo
xto +oo, yto +oo
400
It is this polynomial simplified
(a-5)2
What is
a2-10a+25
400
Is (x+2) a factor of x3-5x2-12x-36?
no the remainder is -40
400
f(3)= -x^4+2x^2-10
-73
500
The domain and range of this function
f(x)= x3+ 8 - x7- 5
What is
(- inf, inf)
500
What is the end behavior of the graph? Describe using limit notation.
-4x^3+2x^2+6x-1
left--up: right--down
x to -oo, y to oo
xto +oo, yto -oo
500
m2n3(-4m2n2 - 2mnp - 7)
-4m4n5-2m3n4p - 7m2n3
500
Find at least 1 factor of
x3-7x2+36
factors are (x-3)(x+2)(x-6)
500
Draw the graph:
negative on intervals (-6,-2) and (3,∞)
positive on intervals (-∞,-6) and (-2,3)
increasing on intervals (-4, 2)
decreasing on intervals (-∞, -4) and (2,∞)
