OnRamps Alg Unit 1 and 2

∈

is an element of or belongs to

∃

there exists

∀

for all or for every

: or∣

such that

→

an implication or mapping (when used with functions)

closure (addition axiom)

x+y∈R

closure (multiplication axiom)

x⋅y∈R

commutative rules (addition axiom)

x+y=y+x

commutative rules (multiplication axiom)

x⋅y=y⋅x

identity element (addition axiom)

x+0=x

identity element (multiplication axiom)

x⋅1=x

inverse rules (addition axiom)

x+(−x)=0

inverse rules (multiplication axiom)

x⋅1/x=1 for x≠0

distributive rule (axiom connecting addition and multiplication)

x(y+z)=xy+xz

the linear function

f(x)=x

the quadratic function

f(x)=x^2

the absolute value function

f(x)= |x|

the square root function

f(x)=√x

The cubic function

f(x)=x^3

the rational function

f(x)=1/x

the exponential function

y=e^x
e is an important constant
e is approximately equal to 2.718, like the irrational number pi

e is an important constant

e is approximately equal to 2.718, like the irrational number pi

x intercept

plug in 0 for y

y intercept

plug in 0 for x