Gofo and have out Graphing Stories 8.29.19 Gofo and have out Graphing Stories Sheet

Agenda *Dependent & Independent Variable *Domain/Range Foldable *Domain & Range Scoot F-IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Also F-IF.A.1, A-CED.A.2

Which ARE NOT functions? A. {(-2, 4), (-4, 4), (-4, 3), (-3, 4)} B. C. D. E. {(-3,1), (0,-3),(3,1), (3,-1)} F. X Y -1 1 X Y -7 5 -7.01 -2 -4

Which inequality would represent the following situation: Fletcher is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Fletcher cannot spend more than $50. Write and solve an inequality to find the most Fletcher can spend on the items for each bag.  Let x represent the amount Fletcher spends on each bag. A.  10+0.75x ≥ 50 B.  (10)(0.75)x ≥  50 C.  x+10(0.75) ≤  50 D.  10x+0.75(10)≤ 50

Which inequality would represent the following situation: Fletcher is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Fletcher cannot spend more than $50. Write and solve an inequality to find the most Fletcher can spend on the items for each bag.  Let x represent the amount Fletcher spends on each bag. A.  10+0.75x ≥ 50 B.  (10)(0.75)x ≥  50 C.  x+10(0.75) ≤  50 D.  10x+0.75(10)≤ 50

So far you know that FUNCTIONS... *can be represented by ordered pairs, tables, graphs, or mappings. *must have a unique output for each input.  (for graphs this means passing the Vertical Line Test) *can be continuous or discrete

Next...Dependent vs. Indepepndent Have out your FRAYER MODEL! AND Domain vs. Range Have out your FRAYER MODEL!

More vocab-yet another way to say “x” or “y”

Ex 1

Ex 2

Ex 3

Ex 4

Let’s go back to Ex 2 and write the function

Let’s go back to Ex 2 and write the function

Ex 3

Ex 4

Today’s in-depth look at functions: DOMAIN vs. RANGE All possible values for y aka output aka dependent variable All possible values for x aka input aka independent variable

Domain and Range of DISCRETE data 𝐷: 1, 3, 5 𝑅: {6} Set Notation 𝐷: −1, 2, 5 𝑅: {−4, 8, 20}

and not repeated. Usually in set notation, items are ordered, 𝐷: 𝑅:{ }

and not repeated. Usually in set notation, items are ordered, 𝐷: 𝑅:{ }

Domain and Range of continuous data

Domain and Range of continuous data

Table can’t list all values Domain and Range of continuous data 𝐷: 𝑅: Table can’t list all values 𝐷: 𝑅: https://www.geogebra.org/m/FCMDfPNf

Domain and Range of continuous data 𝐷: {−∞<𝑥< ∞} 𝑅: {0<𝑦< ∞} Set Notation 𝐷: 𝑅: {0≤𝑥< ∞} {−∞<𝑦< ∞}

Domain and Range Foldable

DOMAIN Foldable -∞ ∞

R A N G E Foldable ∞ -∞

DOMAIN Foldable -∞ ∞

Foldable R A N G E ∞ -∞

IXL 100 grid