6.3 Comparing Function Characteristics RECAP

Linear

Quadratic

Other

Linear

Exponential

Neither

+5

-5

x5

x2

$25

$150

$15

$50

Bombino's

Little Squeezers

Pizza Tent

Smith has the greater rate of change with 5/4

Harmon has the greater rate of change with 7/2

Smith has the greater rate of change with 4/5

They have the same rate of change.

{-3, -1, 1, 3, 5, 7, 9}

{-3, -2, -1, 0, 1, 2, 3}

-3 ≤ x ≤ 3

-3 ≤ x ≤ 9

(-∞,+∞)

(-2,2)

(-1,1)

[-2,2]

Domain: −∞<x<∞

Range: y>0

Domain: −∞<x<∞

Range: y>1

Domain: −2<x<∞

Range: y>0

Domain: −∞<x<∞

Range: y<0

D: {1, -3, -4,}

R: {0, 1, 2, -4}

D:{-4, 0, 1, 2}

R:{-4, -3, 1}

D:{0, 1, 2, 3, 4}

R:{1, -3, -4}

x → ∞, y→ ∞ and

x→ ∞, y→⁻∞

x → ∞, y→ ∞ and

x→⁻∞, y→∞

None of these

x →∞,y→⁻∞ and

x→∞, y→⁻∞

(0, 0) and (2, 0)

(-4, 0) and (0, 0)

(2, 0) and (3, 0)

(0, 0) and (4, 0)

Yes

No

Linear

Quadratic

Exponential

Not a function

Linear

Absolute Value

Quadratic

Exponential

None of the above

Line

Curve

Piecewise

Quadratic

Linear

Exponential

All of the Above

Have a max or min

Have symmetry

Both increase and decrease

All of the Above

A line that a graph approaches but never crosses

A sequence where each term increases by adding/subtracting some constant k

A sequence where each term increases by multiplying the previous term by the same number

A way to write functions that is easy to read and understand

A sequence where each term increases by adding/subtracting some constant k

A sequence where each term increases by multiplying the previous term by the same number

A way to write functions that is easy to read and understand

A line that a graph approaches but never crosses

A sequence where each term increases by multiplying the previous term by the same number

A process that increases quantity over time; b>1; constant percent rate is greater than 1

A sequence where each term increases by adding/subtracting some constant k

A way to write functions that is easy to read and understand

A way to write functions that is easy to read and understand

A line that a graph approaches but never crosses

A sequence where each term increases by adding/subtracting some constant k

A sequence where each term increases by multiplying the previous term by the same number

The number that gets multiplied when using an exponent

an equation that defines a sequence based on a rule that gives the next term as a function of the previous term(s)

The x-values of a function

The y-values of a function

Growth

Deacy

The straight graph of a quadratic function

The circular graph of a quadratic function

The V-shaped graph of a quadratic function

The U-shaped graph of a quadratic function