X-INTERCEPTS
SOLVING LIMITS (RATIONALIZE)
GENERAL AROC
KEY COMPONENTS OF FUNCTIONS
INTERVALS OF INCREASE/DECREASE
100
Find x-int. Of y=3x+b
X=-2
100
Lim x—> 0
√(x+1)-1
_________
x
=1/2
100
General AROC of x2+B
=2x+h
100
Is this a function?
Yes
100
State the intervals of increase and decrease
Increasing: (-∞0, -6), (-3.3, ∞)
Decreasing: (-6, -3.3)
200
Find X-int. Of 5x+10y=30
X=6
200
Lim x—>3
√(x+1) -2
_________
x-3
=1/4
200
General AROC of L2+15
=2L+h
200
Are the following functions?
Both are non functions
200
What intervals does g increase?
A) 1<x<3
B) -4<x<-2
A) 1<x<3
300
Find X-int. Of
5x-9+=-8y-3
X=6/5
300
Lim x—>3
√(x+1)-2
_________
x2-9
=1/24
300
General AROC of bx2+b
=12x+bh
300
What type of function is the following?
Cubic Function
300
Choose all answers that apply where f is increasing
A) -3<x<-2
B) 1.5<x<3
C) -5<x<-3
D) None of the above
A- -3<x<-2
400
Find X-int. Of y+5=2(x+1)
x=3/2
400
Lim t—> 0
√(t2+9-3)
_________
t2
=1/6
400
General AROC of x2-2x+12
2x+h-2
400
What type of function is the following?
Rational Function
400
Select all intervals where g is decreasing
A) -2<x<2
B) 3<x<4
C) -2<x<-1
None of the above
B) 3<x<4
500
What is the final solution for the x-intercept in the equation x=y2-4
X=-4
500
Lim x—>0
√(x2+9)-√(2x2+9)
________________
√(3x2+4)-√(2x2+4)
=-2/3
500
General AROC of 9x2+5x-b
18x+9h+5
500
What is the Domain and Range of the following function?
Domain:1950-2002
Range:47,000,000-90,000,000
500
Select all intervals where g is decreasing
Choose all answers that apply.
A) 4.5 < x <-4
B) -3<x<-2
C) 3<x <3.5
D) None of the above
B: -3<x<-2
C: 3<x<3.5