Solve & Graph Inequalities
f(x)=3x+2
Domain:all real numbers (-inf ,inf)
Range:all real numbers (-inf ,inf)
Simplify in standard complex number form
(3+2i)+(1+4i)
is the answer........
4+6i
Operate!!
(-6x2+3)+(4x2-2x)
Is -2x2-2x+3 your answer?
Linear Function
f(x)=mx+b
a straight line
f(x)=1/x-4
Domain:all real numbers exc x=4 (−inf,4)u(4,inf)
Range:all real numbers exc y=0 (−inf,0)u(0,inf)
Simplify in standard complex number form
(5-3i)-(2+i)
oops gave you the answer.....
3-4i
Operate!!
(-3x+9)+(7x2-2x+1)
Your answer is.....
7x2-5x+10
FOIL
FOIL is a shortcut for multiplying two binomials
F First
O Outer
I Inner
L Last
f(x)=x2
Domain:all real numbers
Range:y greater than or equal 0
Simplify in standard complex number form
(2+3i)(1-i)
I guess I gave you the answer..
5+i
Operate!!
(8x-2)+(-3x2-7)
I wonder if
-3x2+8x-2
Your answer??
Absolute Value Function
f(x)=a∣x−b∣
a V-shape
f(x)=square root x
Domain:x greater than or equal 0
Range:y greater than or equal 0
Simplify in standard complex number form
4+2i/1-i
Here you sigh 1+3i
Multiply.
(3x-5)(x2+x+5)
-5x2-5x-25
Translation
: Moving a graph without rotating or flipping.
f(x)=1/x
Domain:all real numbers except x=0
Range:all real numbers except y=0
Simplify in standard complex number form
(3+4i)2
1...2....3... here you go
-7+24i
Multiply.
(3x-4)(3x2-4x-5)
-12x2+16x+20
Leading Coefficient
The coefficient of the term with the highest power of x.