Define "Complex Numbers"
Imaginary numbers that come from from trying to take the root of a negative
Linear
Answer
i{6}
-1
what letters represent Domain and Range?
a.) y,z
b.) a,b
c.) x,y
d.) d,r
c.) x,y
Answer:
(2x^3+3x+2) + (3x^3-5x-1)
5x^2-2x+1
Define "conjugate"
Opposite i values.
Absolute Value equation
Simplify this complex expression
(2+8i) + (6+3i)
8+11i
Whats a "Y-intercept?"
The point where a line crosses the y-axis
(3x^2-8x+7)-(2x^2-6x+12)
x^2-2x-5
Define "Function Transformation"
Patterns we learn and identify within an equation to draw by hand any version of a parent function.
Quadratic equation
y=x^{2}
Conjugate
-15+7i
-15-7i
Whats a "Zero"?
Where the output function is equal to zero
Answer:
2x^2(3x^2-5x+1)
6x^4-10x^3+2x^2
Define the difference between "Discontinuous" and "Continuous" functions
- continuous functions are solid lines with no holes or jumps
-discontinuous are not functions, and have holes and jumps.
Cubic equation
y=x^{3}
Answer
(4i+3)-(2-6i)
5+6i
Whats a "function"?
A rule that assigns a single output to each input
Whats the method used in multiplying Polynomial Operations?
a) FOIL
b) PEMDAS
c) SOH/CAH/TOA
d) BODMAS
a) FOIL
Define "Extraneous Solutions"
A solution that appears to be the answer, but it doesn't make the original expression true when you substitute it in.
f(x)=-(x+6){2}+4
(the 2 is squared)
reflect over y-axis, Shift left by 6, up by 4
Answer:
i^256
1
What are the parent functions?
linear, Quadratic, Cubic, Absolute value
Multiply
(8x+10) (8x+10) (8x+10)
512x{3} +1920x{2} +2400x+1000