Algebra And Functions

Front 1

Linear Equation

Back 1

Equation for a straight line y=mx+b

y=2x+1

5x=6+3y

y/2=3-x

Front 2

Quadratic Equation

Back 2

Quad means square,must have x2

Standard form ax2+ bx + c = 0

2x2+5x+3=0 2(x2-2x)=5

Front 3

Polynomial

Back 3

Poly=many,nomial=terms, many terms

4xy2+3x-5

this has 3 terms

5xy2-3x+5y4-3

Front 4

Rational equation

Back 4

An expression that is the ratio of 2 polynomials

Front 5

Simplifying

Back 5

Making things as simple as can be

Front 6

Factoring

Back 6

Finding what tomultiply together to get an expression,"splitting" an expression into a multiplication of simpler expressions

Front 7

Function f(x)

Back 7

Likea machine that has an input and an output, and the output is related somehow tothe input

Front 8

DomainVs. Range

Back 8

Domain:The set of all first elements of ordered pairs (x-coordinates)

The set ofx-values that give rise to real y-value

Range:difference between the largest & smallest values

{(2, –3), (4, 6),(3, –1), (6, 6), (2, 3)} domain: {2, 3, 4, 6} range: {–3, –1, 3, 6}

Front 9

Exponential Growth

y(t) = a * e

Back 9

Some things grow (getbigger) exponentially

At 1yr old it is e1,at 10yrs it is e10

Front 10

Exponential Decay

y(t) = a * ekt

Back 10

Some things decay (getsmaller) exponentially

Front 11

Slope y = mx+b

Back 11

Slope = Change in Y

Change in X

Front 12

x-intercept

Back 12

Where the graph crossesthe x-axis

Front 13

y-intercept

Back 13

Where the graph crossesthe x-axis

Front 14

Linear Function

y = a=bx is now...

f(x) = a=bx

Back 14

Graph is a straightline

One independent (x) andone dependent (y), a is the constant term or y-int.

Front 15

Exponential function

Back 15

F(x) – ax a is any value greater than 0,never crosses the x-axis, always passes through (0,1)

Front 16

Logarithm function

f(x) = loga(x)

Back 16

Any value greater than0 except 1, always on the positive side and never passes the y-axis, alwaysintersects the x-axis at x=1 (1,0)

Front 17

Quadratic Function

Back 17

The form f(x) = ax2+ bx + c, where a, b, and c are numbers that are not equal to 0. The graph of aquadratic function is a curve called a parabola which may open upward ordownward and vary in "width" or "steepness", but they allhave the same basic "U" shape.

Front 18

Rational Function

Back 18

Any function that canbe defined by a rational fraction, i.e. an algebraic fraction such that boththe numerator and the denominator are polynomials.

Front 19

Trigonometric Function

Back 19

Functions of an angle that relate the angles of a triangle to the lengthsof its sides.