Solving Equations
Absolute Value Functions
Inverse Functions
Composite Functions
Piecewise Functions
100
Solve
3x+(x+4)/7=6
x=19/11
100
Girls selected for a dance team must be 165 cm in height with a tolerance of 5 cm. Write an Inequality to model this situation.
|x-165|<5
100
Find the Inverse Function of
f(x)=x^3–8
f-1(x)=
root(3)(x+8)
100
What is (f-g)(x)?
f(x)=-4x+4
g(x)=x2-x-2
-x2-3x+6
100
Find f(-8)
f(x)=3x-4 if x<=6
f(x)=5/4x-3 if x>6
-28
200
Solve
-2x^2+12x=-80
x=-4 & x=10
200
A candy manufacturer puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write and solve an equation to represent this situation.
|x-240|=8 Max is 248, Min is 232
200
Find the Inverse Function of
g(x)=sqrt(x)-2
f_1(x)=
(x+2)^2 {x>=-2}
200
What is (f*g)(x)?
f(x)=-3x2
g(x)=2x3-6x+1
-6x5+18x3-3x2
200
Find f(11)
f(x)=3/2x+2 if x<=6
f(x)=x+9 if 6<x<8
f(x)=4 if x>=8
4
300
Solve
x/3-(x+5)/11=5
22.5
300
Solve
3|5m + 8| + 8 = 11
m=-7/5 & m=-9/5
300
Find the Inverse Function of
f(x)=-5x+4
f-1(x)=
-(x-4)/5
300
Find
(a@b)(-2)
a(x)=-x^2-6x+1
b(x)=2x^2
-111
300
Find f(3)
f(x)=5x-8 if x<7
f(x)=6x+2 if x>=7
7
400
Solve
5/3x-12<15(1/5x+4)
x> -54
400
What is the Domain & Range of
y=-|x-5|+3
Domain: All Real Numbers
Range:
y<=3
400
Find the Inverse Function of
y=(x-7)^2{x>=7}
f-1(x)=
sqrt(x)+7
400
f(x)=-x2+5x-4
g(x)=x-5
Find
(f@g)(x)
(g@f)(x)
(f@g)(x)=-x^2+15x-54
(g@f)(x)=-x^2+5x-9
400
Find f(-8)
f(x)=-3x-7 if x<=-8
f(x)=2x-14 if -8<x<+7
f(x)=4x+2 if x>=7
17
500
Solve
7n-8>=5n-6
n>=1
500
How does the Following Absolute Value Function transform the Parent Function y=
y=-1/5|x-7|+3
Reflects over the x-axis.
Compresses Vertically
Shifts Right 7 Units & Up 3 Units.
500
Find the Inverse Function of
f(x)=4(3x+1)3+2
f-1(x)=
1/3root(3)((x-2)/4)-1/3
500
p(x)=x2
q(x)=-2x2-4x+3
Find
(p@q)(x)
(p@q)(x)=4x^4+16x^3+4x^2-24x+9
500
Find f(3)
f(x)=x+6 if x<=-2
f(x)=1/2x if -2<x<=4
f(x)=-x+2 if x>4
x=1.5 or 3/2