Show:
Remainders and Factoring
Sketching Functions
Even and Odd Functions
Inverse of Functions
Piecewise Function
100
Solve for x^3 + x^2 -46x + 72
f(x)=(x-4) (x+9) (x-2)
100
Find all the intercepts of F(x)= (x+7) (x-2)^2
x-int: -7, 2 y-int: 32
100
What are the formulas to find an even and odd function
Even: f(x)= f(-x) Odd: -f(x)= f(-x)
100
What is the inverse of f(x)= x^2 -8
f^-1(x)= √(x+8)
100
State domain and range of f(x)=1/(5-x) + 3
Domain: XER x= anything but -5 Range: YER y= anything but 3
200
Solve for 12x^4+32x^3+3x^2-37x+6
x= 1/2 = 1/3 = -2 = -3/2
200
Find all x and y intercepts f(x)=x^3-x^2+10x-10
x-int: 1, -4, -2 y-int: -8
200
Determine whether f(x)= x^3+2 is odd, even or neither
-f(x)= -x^3 -2 f(-x)= -x^3 +2 Therefore the function is neither odd nor even
200
Given: f(x)=5x + 4, g(x)=(x-3)^2 What is g(f(-2))
18
200
Sketch and Find the domain and range of the function -(x^3), x≤2 √x, x>2
{xER} {yER}
300
Factor Fully: 27x^9 -y^3
(3x^3-y) (9x^9 + 3x^3y + y^6)
300
Graph: 1/(x+2) -6
(We'll draw it on the board)
300
Is the function g(x)=x^3 - 2x^2 + 5 even, odd, or neaither
Neaither
300
f(x)= x^2 -3 g(x)= 1/(2x-5) determine f^-1(g(4))
√3
400
Solve for when (x^3)-13x-12 > 0
-34
400
State the verticle asymptote and hollow point of the function f(x)= (x+3)/(x^2-9)
VA:x = 3 Hollow point x=-3
400
f(x)= 6^(x^2)+36x^6
f(x)=f(-x) therefore the function is even
400
Sketch and find the domain and range of 2^x, x≤2 -|x|+6, x>2 Is the function continuous? Why or why not?
Domain: {xER} Range: {yER|y≤4}
500
Find the x intercepts of the following inequality x^3+4x^2+x</6
x</1 x</-2 x</-3
500
Sketch: (16-4x/x^2+5x-12) +2 name any intercepts, hollow points, asymptotes and transformations
We'll draw the answer on the board
500
Is the following function even, odd or neither f(x)=4x^2 +7x
The function is odd
500
f(x)= √x+5 g(x)=2x/(3x+1) h(x)= 3√2x Determine f^-1(g^-1(h^-1(x)))
f^-1(g^-1(h^-1(x)))= √(17x^2 +90)/(3x^2+18)