Algebra 2 U1

- Calculator

  • Window - Xmin + Xmax for X

  • Ymin + Ymax for Y

  • Zoom out/in to see x + y / zoom fit

- Graph

  • 0 on a graph is x-axis

  • Relative max = Hills

  • Relative min = Valleys

  • Multiplicity of 1 is a straight line

  • ARROWS AREN’T A MUST

  • Infinite - Up and right

  • Negative infinite - Down and left

- Vocab

  • Multiplicity (exponent) - The power to which a factor occurs in the factored fork of a polynomial

  • Degree (exponent) - The degree of a polynomial in x is the highest exponent occurring on x when you write the polynomial out as a sum of non - zero constants time powers of x

  • Relative max - On a graph, the top of a hill

  • Relative min - On a graph, the bottom of a valley

  • Descending order - A way of arranging numbers from largest to smallest

  • Coefficient - Numbers in front of variables

  • Roots - Where the graph touches the x-axis

  • Zeros (graph) - Answer when an equation is set equal to zero

- Function Name

  • Linear:

Ex: f(x) = 5x Hills/valleys: 0

  • Quadratic:

Ex: f(x) = x² + x Hills/valleys: 1

  • Cubic:

Ex: f(x) = 2x³ + x² + 1 Hills/valleys: 2

  • Quartic:

Ex: f(x) = x^4 + 3x³ -x² + x Hills/valleys: 3

Quadratic (2) + Quartic (4):

  • If positive, begins upper left and ends upper right

  • If negative, begins upper left and ends lower right

Cubic (3):

  • If positive, begins lower left and ends upper right

  • If negative, begins upper left and ends lower right

- How to multiply Monomials!

  1. Multiple coefficients together

  2. Multiply like variables together (Add their exponents together and write the base only ONCE)

  3. Or use foil method, F: First, O: Outside, I: Inside, L: Last

    Ex:

    1. (1x^5)(1x^4) = 1x^9

    2. (6a²)(9a^5) = 54a^7

    3. (3w³x)(-7wx²)(-1wx^4) = 21w^5x^7

    4. -7(-2x² - 3x + 5) = 14× 2 + 21x - 35