User:
• Matrices
• Algebra
• Geometry
• Funciones
• Trigonometry
• Coordinate geometry
• Combinatorics
 Suma y resta Producto por escalar Producto Inversa
 Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equations Matrices Determinants Inverse of a matrix Logarithmic equations Systems of 3 variables equations
 2-D Shapes Areas Pythagorean Theorem Distances
 Graphs Definition of slope Positive or negative slope Determine slope of a line EcuaciÃ³n de una recta Equation of a line (from graph) Quadratic function PosiciÃ³n relativa de dos rectas Asymptotes Limits Distancias Continuity and discontinuities
 Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric identities Law of cosines Law of sines
 EcuaciÃ³n de una recta PosiciÃ³n relativa de dos rectas Distancias Angles in space Inner product

Write a rule for a function table

Write the rule for the following function table.

 y=______ 1 0 2 1 3 2 4 3

Linear functions are of the form y=mx+b.

1. First find m.
Look at the table and notice that every time the terms x go up by 1, the y terms go up by 1. This means that m is equal to 1.

2. Next find b.
Take the equation y=mx+b and plug in the m value (m=1) and a pair of (x,y) coordinates from the table, such as (1,0). Then solve for b.

 y = mx+b 0 = 1(1)+b Plug in m=1, x=1 and y=0 0 = 1+b Simplify -1 = b Simplify

3. Finally, use the m and b values you found (m=1 and b=-1) to write the equation.

 y = mx+b y = 1x-1 Plug in m=1 and b=-1 y = x-1 Simplify

So, the equation is y=x-1

Which equation gives the rule for this table?

 f(x) x f(x) 0 -2 1 7 2 16 3 25

f(x) = 9x
f(x) = 9x+2
f(x) = -9x
f(x) = 9x-2