3.2 Notes Part 1 - Linear Functions_AlgA

3.2 Notes Part 1 - Linear Functions_AlgA

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

8.F.A.3, 8.EE.B.6

Standards-aligned

Created by

Sheryl Luoma

Used 2+ times

FREE Resource

3 Slides • 9 Questions

1

3.2 Notes Part 1 - Linear Functions

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2

Tables: is the function linear?

What does x increase or decrease by?
What does y increase or decrease by?
What is the ratio of
$\frac{change\ in\ y}{change\ in\ x}$
If ratio is constant (same for all intervals), function is linear!
If ratio is not constant, function is nonlinear.

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3

Multiple Choice

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Is function represented by the table linear or nonlinear?

1

linear

2

nonlinear

4

Multiple Choice

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Is function represented by the table linear or nonlinear?

1

linear

2

nonlinear

5

Multiple Choice

In the equation y = mx + b, what does the m stand for and what does the b stand for?

1

m = y-intercept

b = slope

2

m = slope

b = y-intercept

3

m = domain

b = range

4

m = range

b = domain

6

Equations: linear function?

An equation is a linear function if it can be written as y = mx + b
Other ways this can be written are:
y = b, like y = 5, m = 0
y = mx, like y = 7x, b = 0
y = x + b, like y = x + 5, m = 1
y = x, m = 1 and b = 0

7

Multiple Choice

Is the following a linear or nonlinear function?

y = 4

1

linear

2

nonlinear

8

Multiple Choice

Is the following a linear or nonlinear function?

y\ =\ \sqrt{x}

1

linear

2

nonlinear

9

Multiple Choice

Is the following a linear or nonlinear function?

y\ =\ 3\left(x+4\right)

1

linear

2

nonlinear

10

Multiple Choice

Is the following a linear or nonlinear function?

y\ =\ \frac{2}{3}x

1

linear

2

nonlinear

11

Multiple Choice

Is the following a linear or nonlinear function?

y\ =\ x^2+3

1

linear

2

nonlinear

12

Multiple Choice

Which of the following is NOT a linear function?

1

y = 3x

2

y = x²

3

y = 5x - 9

4

y = 2(x - 1)

pattern-tertiary

3.2 Notes Part 1 - Linear Functions

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