200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Vocabulary Inequalities Equations & Slope INT/INQ Graphing.

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Presentation transcript:

Vocabulary Inequalities Equations & Slope INT/INQ Graphing Dom/Range Variations

Domain Range

X-Values Y-Values

Direct Variation Graph

Linear & thru point (0, 0)

Vertical Line Test

Test for functions. Can only touch 1 point at a time

Open Circle

Used on a Number Line to EXCLUDE from the solution

Function

Relation with NO Duplicated x-Values

3x + 6 < 36

x < 10

-3w –4 > 14

w < -6

2(x –2) < 3(x – 3)

x > 5

3x –(x + 3) < -2

x < 1/2

-3x + 5 = 20

-5

What is the slope?

– 3

8x – 3(2 – 5x) = 40

2

-15

Graph this Equation

Convert to Interval Notation -2 < x ≤ 4

(-2, 4]

Convert to Interval Notation x ≤ -3 or x > 5

(-∞, -3] U (5, ∞)

Convert to Inequality Notation [-3, 8)

-3 ≤ x < 8

Reaarange this equation to get y = mx + b

Find Domain & Range Is it a Function? {(-2,3), (4,-1), (5,3)}

D: {-2,4,5} R: {-1,3} Yes

Find Domain & Range Is it a Function? {(-1,2),(-3,1),(5,3),(-1,9)}

D:{-3,-1,5} R: {1,2,3,9} NO

Domain: {-5,-3,0,2} Range: {-3,-1,1,5} Not a Function

Light intensity from a source varies inversely with the distance from the source. If the light intensity is 10 ft-candles at 21 feet, what is the light intensity at 12 feet?

17.5 ft candles

Sketch a picture of the graph model for Inverse Variation.