Solve
Graphing
Polynomials
Quadratics
Characteristics
100
Solve the function.
2|x+5| = 12
x = 1, -11
100
What is the vertex of this function.
f(x) = 2x2 - 8x + 10
Vertex = (2,2)
100
What type of end behaviour does this function have.
f(x) = -x5-4x3+2x-28
as x approaches infinity, f(x) approaches negative infinity
as x approaches negative infinity, f(x) approaches infinity
100
Use quadratic formula.
y = 2x2-7x-4
x=1/2, -4
100
Is this a function? Why?
No because it fails the VLT.
200
Find the inverse of the following function
2n3-3
200
A fireworks shell is launched from the top of a 20-meter platform. Due to safety regulations, the fireworks must explode before the shell reaches its maximum height.
What do I need to solve for to safely let off these fireworks. (i.e. y intercept, x intercept ...)
x at vertex
200
Write the equation with these characteristics.
The function has a positive leading coefficient.
The function crosses at x = -5 and x = -2.
The function bounces at x = 4
f(x) = (x+5)(x+2)(x-4)2
200
Convert to vertex form.
x2-10x+9
(x-5)2-16
200
What is the domain of this function?
x<=6
300
Solve the function.
r = 8
300
Find the y intercept of the function.
f(x) = (x-3)2+10
y intercept = (0,19)
300
Write the equation for the polynomial. (Check your y-intercept)
y = 3/4 (x+8)(x-5)2
300
Factor.
4x2-12x-7
(2x-7)(2x+1)
300
What is the range of this function.
-4<y<5