Pre-Calc. 12 Basic Functions, 14 basic functions

Three functions with domains of imaginary numbers

Reciprocal, natural log, square root

Function that excludes zero in the domain

Reciprocal because when x=0 the answer becomes undefined

Two functions that have no negative numbers in the domains

Natural log and square root. The square root is defined at zero

Two functions that have a point of discontinuity

Reciprocal and greatest ineger

Identify the three even functions

squaring, cosine and absolute value

Identify the four odd functions

sine, reciprocal, cubing, identity

The six functions that increase on their domains

identity, cubing, square root, exponential, natural log and logistic

The three function decreasing on the interval (-∞, 0)

Squaring, reciprocal, absolute value

Three functions with all real numbers in the range

identity, cubing, and natural log

The four functions that do not have an end behavior of f(x)=∞ x->∞

cosine, sine, reciprocal, logistic

The three functions with end behavior f(x)=-∞ x-> -∞

identity, cubing, greatest integer

The two functions whose graphs are identical except for a horizontal shift

Cosine, sine

Identity

f(x)=x

Squaring

f(x)=x^2

Cubing

f(x)=x^3

Reciprocal

f(x)=1/x

Square root

f(x)= √x

Exponential

f(x)=e^x

Natural Log

f(x)=ln(x)

Sine

f(x)=sinx

Cosine

f(x)=cosx

Absolute Value

f(x)=| x |

Greatest Integer

f(x)= intx

Logistic

f(x)=1/(1+e^-x)

f(x) = x

f(x) = e^x

f(x) = int(x)

f(x) = 1 /(1+e^-x)

f(x) = cos(x)

f(x) = sin(x)

f(x) = lnx

f(x) = square root of x

f(x) = x^3

f(x) = 1/x

f(x) = |x|

f(x) = x^2

f(x)=√a^2-x^2

f(x)-1/x^2