Linear Functions
Factoring
Equations
Exponents & Rational Expressions
Transformations
Even/Odd, Piecewise
Operations & Composition, Inverses
100
The slope of the line:
m=3
100
The complete factored form of:
6x^2y^3-8x^4y^2+2xy^2
2xy^2(3xy-4x^3+1)
100
The solution(s) to the equation:
3x+5(x-2)=7(x-1)-5
x=-2
100
The simplified version of the expression:
(3x^3y^4)^3
27x^9y^12
100
The parent function of the curve shown here:
f(x)=sqrt(x)
100
The type of symmetry of the function:
f(x)=3x^2-4
Even
100
The value of:
(f\-h)(4)
14
200
The slope of a line that passes through the points (3,-4) and (-3,-8).
m=2/3
200
The complete factored form of:
4x^3+8x^2-60x
4x(x-3)(x+5)
200
The solution(s) to the equation:
1/3x^2-5=-2
x=+-3
200
The simplified version of:
(x^3-27)/(4x^3-12x^2-25x+75)
(x^2+3x+9)/((2x-5)(2x+5)), x\ne3
200
Th equation for a function g(x) that is transformed by vertically reflecting the function f(x) and shifting it left 2 units and down 3.
g(x)=-f(x+2)-3
200
The type of symmetry of the function:
f(x)=-2x^3-4x^2+x
No symmetry
200
The value of:
(f\cdotg)(6)
63
300
The slope of a line that passes through the points (-3,-4) and (-3,-8).
m="undefined"
300
The complete factored form of:
3x^3-9x^2+4x-12
(3x^2+4)(x-3)
300
The solution(s) to the equation:
3x^2+10x-18=3x+2
x=-4,5/3
300
The simplify version of:
(4x^2-4x-8)/(8x+40)\cdot (x^2+8x+15)/(x^2+x-6)
(x+1)/2,x\ne-5,-3,2
300
The domain and range of the function:
f(x)=-sqrt(x+3)-4
D: [-3,infty)
R: (-infty,-4]
300
The value of the defined function at x=-4.
f(-4)=-7
300
The value of:
(h\circg)(1)
3
400
The equation of the line:
y=-1/4x+5
400
The complete factored form of:
32x^5-72x^3-4x^2+9
(2x-1)(4x^2+2x+1)(2x-3)(2x+3)
400
The solution(s) to the equation:
5x^2-2x-1=2x^2-4
x=1/3+-(2i\sqrt2)/3
400
The simplified version of:
(10x^2-640)/(x^2-17x+72)\div(10x^2+160x+640)/(x^4-7x^3-18x^2)
(x^2(x+2))/(x+8),x\ne-2,0,+-8,9
400
The transformations occurring to the parent function of:
h(x)=1/2e^(-x+2)+5
A vertical compression of 1/2, a horizontal reflection, a shift to the right 2 units, a shift up 5 units.
400
The value of the defined function at x=-3.
f(-3)=5
400
The value of:
f(h(5))
-27
500
The equation of a line that passes through the points (-4,5) and (2,2).
y-5=-1/2(x+4)
y-2=-1/2(x-2)
y=-1/2x+3
500
The complete factored form of:
3e^(2x)-e^x-10
(3e^x+5)(e^x-2)
500
The solution(s) to the equation:
9x^3+27x^2-x-3=0
x=-3,+-1/3
500
The simplified version of:
3/(x^2+7x+10)-5/(x+2)+(x+2)/(x^2-x-6)
(-4x^2+76)/((x+5)(x+2)(x-3))
500
The result of taking the parent function of f(x)=|x| and then vertically stretching it by a factor of 3, horizontally reflecting it, shifting to the right 5 units, and shifting down 4 units.
g(x)=3|-x+5|-4
500
The value of:
f(-5)-f(2)
f(-5)-f(2)=-15
500
The inverse of the function:
f(x)= 2root(3)(x-2)+4
f^-1(x)=((x-4)/2)^3+2