Definitions
Domain, Range, and End Behavior
Transformations of Graphs
Real World Problems
Scatter Plots
100

What are the four types of slope?

Positive (increasing), Negative (decreasing), Zero, Undefined

100

The x-values are what?

The y-values are what?

Domain

Range

100

Write a linear equation that has a slope of 5 and a y-intercept of 2.

y = 5x + 2

100

Jenny runs in her neighborhood daily. If she burned 1,050 calories, how many miles did she run?

7 miles

100

Scatter Plots have three types of correlations. What are they? 

Positive, Negative, and No Correlation.

200

What variable in our equation for linear functions represents the slope? 

m

200

What is the domain and range?

 

Domain: [0, 3)

Range: [-2, 1)

200

Rewrite the equation y = 2x - 6 reflected across the x-axis. 

y = -2x + 6

200

What does the rate of change represent? 

Price per game.

200

How do we find the line of best fit in desmos?

Create a table with points then type in y~ mx+ b.

300

What variable in our equation for linear functions represents the y-intercept?

b

300

Describe the end behavior of the graph. 

As x approaches -∞, y approaches what?

As x approaches +∞, y approaches what? 

As x approaches -∞, y approaches +∞.

As x approaches +∞, y approaches -∞

300
Describe the transformation of the function y = 2x + 1 to y = 1/2x + 5. 

horizontally stretched by 1/4 and moved up 4 

300

Mike and Joe are going on a road trip. They want to know how long it is going to take them to drive 2,000 miles. 

Hint: find your slope then set your equation equal to something. 

m = (1000 - 300)/14 - 4

m = 700/10

m = 70

y = 70x + 0

2,000 = 70x

2,000/70 = x

28.57 = x

Approximately 28.57 hours. 

300

Name the correlations of the following graphs.

A.  B.  C.

A. Negative Correlation

B. No Correlation

C. Positive Correlation

400

A collection of points that relate two (2) variables to show a correlation. 

Scatter Plot

400

What is the domain and range?


Domain: [0, ∞)

Range: (-∞, 1]

400

A linear function's parent function equation is y = x. Write an equation that compresses the function horizontally by 4 and transforms it up 3.

y = 4x + 3 

400

Haley is going to a farmers' market. There is an entrance fee of $4.00 and a charge of $6.00 per pound of fruits and vegetables she buys. If Haley brought $40.00, how many pounds of fruit and vegetables can she buy? 

y = 6x + 4

40 = 6x + 4

36 = 6x

6 = x

She can buy 6 pounds of fruits and vegetables.

400

Use Desmos to find the line of best fit with

x-values: 1, 3, 7, 9, 16, 21

y-values: 4, 15, 7, 8, 23, 29

y = 1.12x + 3.72

500

A line that best shows a correlation of points that relate two (2) variables. 

Line of Best Fit

500

DOUBLE JEOPARDY

What is the domain, range, and end behavior?


Domain: all real numbers

Range: all real numbers

As x approaches -∞, y approaches -∞.

As x approaches +∞, y approaches +∞

500

Write an equation that makes the equation y = -x + 2 reflect across the y-axis and stretches vertically by 2.

y = 2x + 4

500

Lea and Hannah own a bookstore. They record in the table the number of books remaining in the store as customers come in to purchase them. Create an equation for them that describes the relationship between the number of customers and the total books left. 

m = (640 - 512)/(16 - 32) 

m = 128/-16

m = -8

640 = -8(16) + b

640 = -128 + b

768 = b

y = -8x + 768

500

DOUBLE JEOPARDY

On the back of your whiteboards, plot the following points and draw the line of best fit.

(0, 1)

(2, 1)

(2, 3)

(4, 3)

(4, 5)

(6, 3)

(7, 5)

(9, 4)


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