Equations,Inequalities, Functions
What is the addition property of equality
a+c=b+c
What is the name of a point or a set of points?
Solution of a system of equations
y=mx+b is called?
The slope intercept form of a equation
What is a Polynomial function?
one variable is a function that can be written in the form f(x)=anx^n +an-1x^n-1
What is the binomial theorem?
how to expand expressions of the form (a+b)ⁿ
What does it mean when you interpret a solution?
You state the meaning of the solution in the context of the problem or real world situation.
Whats a way of checking your answer?
Substitution.
what does Composite Function mean
The function that result from the composition of two functions
What is n?
N is the degree of the polynomial function.
What another name for summation notation?
sigma notation
What is an absolute value of equation?
It's an equation involving the absolute value of a variable expression
Whats the ordered triple?
x,y,z
What is the composition f o g if F(x)=4-2x and g(x) =3x^2?
a.f(g(x))= 12x^2 - 6x^3
b.f(g(x))=4-6x^2
c.f(g(x))=3(4-2x)^2
d.f(g(x))=12-12x^4
B.
What form is the polynomial written in ?
Standard form
When is the binomial theorem useful?
When (a+b)^n is needed to expand into a large value of n
Solve b^2 + 5b=0 by factoring.
b^2 +5b=0
b(b+5)=0
b+5=0
b=0 b=-5
Whats another way for solving system of linear equations?
elimination method
find the function and use f(x)=x^2,g(x)=x+5 and h(x)=4x-6
(f o g )(x)
x^2+10x+25
in 7x^5+2x^2-3 what is the leading coefficient and what is the constant?
7 is the leading coefficient and 3 is the constant.
Simplify 9x8x7x6x5x4x3x2x1/(6x5x4x3x2x1)(3x2x1)
84
Solve the equation by completing the square a^2-2a-8=0
a=2 +/- square root 2^2-4(1)(-8)/2(1)
a=2+/- square root 4-(-32)/2
a=2+/-square root 36/2
a=2+/- 6/2
x=8/2 x=-4/2
a=4 a=-2
2x+7y+z=-53 use substitution
The solution of the system is (-4,-6,-3)
find the function and use f(x)=x^2,g(x)=x+5 and h(x)=4x-6
(g o f)(x)
x^2+5
Is the following function Even odd or neither?
F(x)=6x^5-4x
odd
What numbers will fill in the eighth row of the pascal triangle?
1 7 21 35 35 21 7 1