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2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Functions And Relations Properties of Linear Functions Equations of Linear Functions Linear Functions As Models Forms of Linear Functions

description

Functions And Relations. Properties of Linear Functions. Equations of Linear Functions. Linear Functions As Models. Forms of Linear Functions. 1 pt. 1 pt. 1 pt. 1 pt. 1 pt. 2 pt. 2 pt. 2 pt. 2 pt. 2 pt. 3 pt. 3 pt. 3 pt. 3 pt. 3 pt. 4 pt. 4 pt. 4 pt. 4 pt. - PowerPoint PPT Presentation

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FunctionsAnd

Relations

Properties ofLinear

Functions

Equations of Linear

Functions

Linear FunctionsAs Models

Forms ofLinear

Functions

Page 2: 2 pt

What is the definition of a relation?

Page 3: 2 pt

Any set of ordered pairs.

Page 4: 2 pt

What is the definition of a function?

Page 5: 2 pt

For every input, there is exactly one output.

Page 6: 2 pt

Is the following equation a function? If so, state the

range.

Y = x - 3

Page 7: 2 pt

It is a Function

Range y > 0

Page 8: 2 pt

In the function x + y = 2,over the domain -1 < x < 3, tell

the corresponding range.

Page 9: 2 pt

R = {y: -1 < y < 3}

Page 10: 2 pt

Tell the range and domain of the following relation

-9 7

8

-2

6

Page 11: 2 pt

D = {x: -9 < x < 7}

R = {-2 < y < 8}

Page 12: 2 pt

What is the effect on the graph of changing the x – coefficient?

Page 13: 2 pt

It changes the tilt (slope) of the graph

Page 14: 2 pt

What is the effect on the graph of changing the constant term?

Page 15: 2 pt

It changes where the line crosses the y – axis.

Page 16: 2 pt

Name an equation of a line that has a slope that is infinitely

large.

Page 17: 2 pt

X = #

Page 18: 2 pt

Name an equation of a line that does NOT have a y-intercept.

Page 19: 2 pt

X = #

Page 20: 2 pt

True or False

If a line has a positive slope, you must rise a certain

number of units and then run to the right a certain number of

units.

Page 21: 2 pt

False

Page 22: 2 pt

Find an equation in slope-intercept form of a line going

through the points (- 4, 5), (6, 10).

Page 23: 2 pt

Y = .5x + 7

Page 24: 2 pt

Write an equation of a line in standard form going through

the point (- 2, 7) and is perpendicular to 3x + 4y = 72.

Page 25: 2 pt

- 4x + 3y = 29

Page 26: 2 pt

Write an equation in slope-intercept form of a line that has an x-intercept of 5 and a slope

of – 2/3.

Page 27: 2 pt

Y = -2/3x + 10/3

Page 28: 2 pt

Write an equation in slope-intercept of a line containing

(5, 8) and is parallel to 2x + 3y = 9.

Page 29: 2 pt

Y = -2/3x + 34/3

Page 30: 2 pt

You have one hour to make cookies for your school bake sale. You spend 20 minutes

mixing the dough. It then takes 12 minutes to bake each tray of cookies. If you bake one tray at a time, what model can you

use to find how many trays you can bake?

Page 31: 2 pt

12x + 20 = 60

Page 32: 2 pt

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45 cents. Assume that the price varies linearly with the number of

ounces.Write the particular equation in

slope intercept form.

Page 33: 2 pt

C = 9/4w + 45/4

Page 34: 2 pt

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45 cents. Assume that the price varies linearly with

the number of ounces.

A 52 oz can costs $1.39. According to your model, is this can over or under – priced? By

how much?

Page 35: 2 pt

Over – Priced by 11 cents.

Page 36: 2 pt

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45 cents. Assume

that the price varies linearly with the number of ounces.

Suppose that an “individual serving” can was priced at $0.21.

About how many oz. of beans would you expect to get?

Page 37: 2 pt

4 oz

Page 38: 2 pt

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45

cents. Assume that the price varies linearly with the number

of ounces.

What is the weight intercept?

Page 39: 2 pt

(- 5, 0)

Page 40: 2 pt

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45

cents. Assume that the price varies linearly with the number

of ounces.

What is the price intercept?

Page 41: 2 pt

(0, 45/4)

Page 42: 2 pt

Define slope-intecept form?

Page 43: 2 pt

Y = mx + b, where m is the slope of the line and b is where

the line crosses the y-axis

Page 44: 2 pt

True or False

There is only one slope-intercept form for each

equation.

Page 45: 2 pt

True

A line only has one slope and crosses the y-axis in one spot.

Page 46: 2 pt

True or False, if False, correct.

The definition of standard form is Ax + By = C, where A,B,C are

integers.

Page 47: 2 pt

False,

A, B and C are constants

Page 48: 2 pt

True or False

You can change slope-intercept form into point-slope

form.

Page 49: 2 pt

True

Just get an ordered pair out of SIF and change to PSF.

Page 50: 2 pt

True of False, correct if false.

The C is Standard Form ends up being your y-intercept of

your line.

Page 51: 2 pt

False

C/B is y-intercept