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Section 1

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Calculus Math

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Date created

Mar 14, 2020

Cards (38)

Section 1

(38 cards)

Domain

Front

- Cannot have denominator equal to zero - Radicals cannot be negative

Back

Division

Front

P/q / R/s = P/q * S/R

Back

Shift function left

Front

y= (x+h)

Back

If degree of polynomial is even

Front

The arrows point in the same direction

Back

Parabola open down

Front

a=negative

Back

X Coordinate of Vertex

Front

x= -b / 2a

Back

If graph is bending up towards the left, then the base must be (bigger, smaller) then one.

Front

smaller

Back

Interest/Compound Amount Formula formula

Front

P(t)= P( 1+ r/n )^nt

Back

Addition

Front

P/q + R/q = P+R/q

Back

Parabola open up

Front

a= positive

Back

Range

Front

All possible output values given what is inside the function

Back

Shift function down

Front

y= x - h

Back

Properties of Exponents

Front

- a^m * a^n = a^m+n - a^m / a^n= a^m-n - (a^m)^n = a^mn - (ab)^m = a^m * b^m - (a/b)^m = a^m / b^m

Back

Definition of a^m/n

Front

= (a^1/n)^m

Back

Amount of turns on the graph

Front

is polynomial degree minus 1

Back

Shift function right

Front

y= (x-h)

Back

Perpendicular Lines

Front

Reciprocal and change sign

Back

Interest Earned

Front

=P(1+r)^n

Back

If graph is bending up towards the right, then the base must be (bigger, smaller) then one.

Front

bigger

Back

Always horizontal asymptote when

Front

Numerator and denominator have the same degree

Back

If denominator has larger degree than numerator, then

Front

horizontal asymptote is zero

Back

Fundamental Property

Front

p/q = ps/qs

Back

Half Decay Formula

Front

b= 1/2^(t/h)

Back

Multiplication

Front

P/q * R/s = Pr/Qs

Back

Difference of Two Square x^2-y^2=

Front

(x+y)(x-y)

Back

Hyperbola

Front

an open curve formed by a plane that cuts the base of a right circular cone typically when denominator has a degree higher than numerator

Back

If degrees are the same in numerator and denominator, horizontal asymptote is (equation)

Front

=a/b

Back

Double Growth Formula

Front

y= C * 2^t/d

Back

Growth Formula

Front

y=C*b^t

Back

Parallel Lines

Front

Lines that have the same slope

Back

Shift function up

Front

y= x + h

Back

2^4=16 in log

Front

Back

Quadradic formula

Front

-b +or- Sqr(b^2-4ac) / 2a

Back

Perfect Square x^2+2xy+y^2=

Front

(x+y)^2

Back

Sum of two cubes x^3+y^3=

Front

(x+y)(x^2-xy+y^2)

Back

Subtraction

Front

P/q - R/q = P-R/q

Back

Properties of Inequalities

Front

- if a<b then a + c < b + c - if a<b and if c>0 then ac<bc - if a<b and c<0 then ac>bc

Back

Difference of Two Cubes x^3-y^3=

Front

(x-y)(x^2+xy+y^2)

Back