slope intercept form Cannot be determined All of the above y=mx+b, where m is the slope and b is the y-intercept of the line (0,b) None of the above

y=mx+b, where m is the slope and b is the y-intercept of the line (0,b)

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Algebra - Pre Algebra

user_hodr Created by 9 mon ago

Cards in this deck(100)

distance from zero on a number line

solutions of |x| are

|X| = -c has _________________ solution(s)

for greater/less than or equal to, you use _____________ for interval notation

for greater than or less than, you use ___________ for interval notation

quotient of 2 quantities, given by a/b or a:b

ratio that indicates how 2 quantities change with respect to each other (ex. $10.45/hr)

contains (x1,x2) and (y1,y2)

slope intercept form

point slope form

every ______________ line is a function

if a line passes the _______________line test, it is a function

graph of y = c or f(x) = c is a ___________ line

graph of x = a is a __________________ line

slope of parallel lines is

slope of perpendicular lines is

a set of points (x,y) which are a fixed distance (r- radius) away from a fixed point (h,k- the center)

equation of a circle

general form of a circle

when using the general form of a circle to solve for the center and radius, you need to ____________

x = loga(y) which is equal to y =

loge(x) is equal to

loga(xy) =

loga(x/y) =

loga(x)^r =

loga(a)^x = x or

a^m * a^n =

a^m/a^n =

(a^m)^n =

1/(a^m) =

a^(-n)/b^(-m) =

y = ln(x) is equal to x =

i =

i^2 =

those in the form √a where a is a negative real number

written in the form a+bi where a & b are real numbers and i = √-1

standard form of complex numbers

broadest category of numbers

natural numbers (N)

whole numbers (W)

integers (z)

rational numbers (q)

irrational numbers (h)

real numbers (R)

complex numbers

imaginary numbers (i)

how to add/subtract complex numbers

how to multiply complex numbers

how to divide complex numbers

quadratic formula

every input has a specific output

independent variable (input)

dependent variable (output)

set of all possible inputs (x)

set of all possible outputs (y)

2 functions f & g are equal if and only if

polynomial function will have all even exponents

polynomial function will have all odd exponents

how to tell if a function is even algebraically

even functions are symmetrical about the

how to tell if a function is odd algebraically

odd functions are symmetrical about the

function of the form f(x)= a0+a1X+a2X^2+.... + anX^n, where n is a non-negative integer and a0, a1,...an are real constants with an not equal to zero

largest possible domain of a polynomial function is

quotient of 2 polynomial functions p(x) and q(x) : f(x) = p(x)/q(x) and q(x) is not equal to 0

the domain of a rational function p(x)/q(x) is

for p(x)/q(x): if the degree of p(x) < degree of q(x), then the range is

for p(x)/q(x): if the degree of p(x) = q(x), then the range is

change in the population size

growth rate divide by the population size (aka "specific growth rate")

stage where output increases at a decreasing rate as more units of variable input are added

functions that are one to one and map the y-values back to x-values

one to one for inverse functions implies

a __________ line test is run to determine if a line is an inverse function

steps for finding an inverse function

domain of an inverse function f(x)^-1 is equal to

range of an inverse function f(x)^-1 is equal to

f(x) = x^r where r is a real number (ex. y = x^2, y =x^(1/2), y = x^(-1/2)

how to find percent error

equation of exponential growth or decay

growth occurs in the exponetial growth equation y(t) = y(0)e^λt when

decay occurs in the exponential decay equationy(t) = y(0)e^λt when

2 equations for half-life

inverse of f(x) = a^x is

inverse of the exponential with natural base e

change of base formula

for y=af(X) and a>1, the graph will be

for y=af(X) and a<1, the graph will be

for y=f(bx) and b>1, the graph will be

for y=f(bx) and 0

for y = f(x+c), shift f(X)

for y = f(x-c), shift f(x)

for y = f(x) + d, shift f(x)

for y = f(x) - d, shift f(x)

y = -f(x) reflects f(x) about the

y = f(-x) reflects f(x) about the

transformation of points (x,y) for vertical transformation

transformation of points (x,y) for horizontal transformation

transformation of points (x,y) for vertical strech/compression

transformation of points (x,y) for reflection in x-axis

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