Week 9 – Important vocab

Sum- addition

Product- multiplication

Difference-subtraction

Series and sequences:

Series – the sum of a number of terms

Sequences – pattern of numbers

Arithmetic – common difference (adding or subtracting)

Geometric – common ratio (multiplying or dividing

Appreciates – increasing

Depreciates – decreasing

Finite (geo)- a diverging graph r>1 or r<1 NO SUM

Infinite (geo)- a converging graph -1<r<1

Radicals:

Absolute value- the absolute value of a real number is defined as the principal square root of the squared number

Radicand- is the number the being square rooted

Extraneous solution – the value of the variable doesn’t solve the equation so there is no solution

Polynomials:

Binomial- two terms

Trinomial – 3 terms x^2, x #

Conjugates- they eliminate the middle term ex. (x-9)(x+9) used for perfect square binomials

The zero law – a x b= O a=0 b=0

Restrictions- restrictions are usually needed when finding an isolated variable in radical equations ex. x < 2

Factoring – putting the equation in simpler terms

Solving- finding the value of variables/ the answer

Rational roots- repeats or terminates (factor) whole number, fractions and (+) or (-)

Irrational roots- doesn’t terminate and doesn’t repeat (completing the square)

Real roots- when you solve and can get an answer, x=?

Discriminant – b^2 -4ac, if it’s positive there are 2 solutions, if it’s 0 there is 1 solution and if negative there is no solution

Quadratic:

Minimum graph – opening up

Maximum graph – opening down

Scale of graph – stretch or compressed

Translation- horizontal or vertical

General form- y=ax^2+bx+c

Standard form- y=a(x-p)^2+q

Vertex – change of direction , p,q

Axis of symmetry- c value that divides the graph into 2 equal parts

Domain- x restrictions

Range – y restrictions

 

 

 

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