All About Functions
Factoring
Rational Expressions
Transformations!
Quadratics and radicals
100
Is this a function?
NO
100
what are the two factors of this expression?
f(x)=3x^2+2x
f(x)=x(3x+2)
100
state the restrictions:
(2x+1)/((x+1)(x-2)
x!=-1,2
100
What is the equation of a function that has been moved left 1 and up 4?
g(x)=f(x+1)+4
100
convert this radical into a mixed radical
No calculators allowed!
sqrt99
=3sqrt11
200
What is f(4) if
f(x)=3x^2+2x+8
64
200
factor this:
x^2+5x-14
(x-2)(x+7)
200
Multiply and state restrictions: Leave answers in factored form
((2x+1)(x-1))/((x-2)(x+3))*((x+3)(x+5))/(2x+1)
((x-1)(x+5))/(x-2)
x!=2,-3,-1/2
200
What transformations have been applied to this equation?
g(x)= 2f(x-1)
Vertical stretch by a factor of 2
Right 1
200
What is the minimum point of this quadratic?
f(x)=3(x-2)^2+100
(2,100)
300
what is x when f(x)=4?
x=16
300
factor this:
3x^2+2x-5
(x-1)(3x+5)
300
Add the following: be sure to state restrictions
(2x)/(x^2-9)+(3x)/((x+2)(x+3)
(5x^2-5x)/((x+3)(x-3)(x+2)
x!=3,-3,-2
300
What is the equation of a function that has been
Reflected in the x-axis
Horizontally compressed by a factor of 1/2
Moved vertically up 1
g(x)=-[f(2(x)]+1
300
Find the vertex of this quadratic
x^2+6x-14
(-3,-23)
400
What is the domain of this function? assume it continues forever
D: {x in RR|x!=0}
R:{y in RR|y!=0}
400
factor this:
9x^2-4y^2
(3x+2y)(3x-2y)
400
what are the restrictions on the following:
((x-2)(x-3))/((x+1)(x+2))-:((x-1)(x+2))/((x+3)(x+4)
x!=-4,-3,-2,-1,+1
400
What is the equation of the square root function that has been:
Vertically stretched by a factor of 2
Horizontally compressed by a factor of 1/3
Reflected on the y-axis
moved right 5
Moved up 4
f(x)=2sqrt(-3(x-5))+4
400
No Calculators
Multiply the following radicals together
(2sqrt2+4sqrt3)(3sqrt2-5sqrt3)
2sqrt6-48