Functions #2- Lines and Curves of Best Fit

Which scatter plot shows a linear relationship between x and y?

• Graph A

• Graph B

• Graph C

• Graph D

What type of function does this scatterplot represent?

• constant function

• linear function

• quadratic function

• cubic function

Use desmos.com to find the line of best fitfor these points (0,0) (1,2) (3,5) (6,7) (8,10). You will need to enter the points into a table and then do the linear regression (use y₁~mx₁ + b)

• y = 1.17x + 0.62

• y = 1.16x + 0.61

• y = 1.6x + 0.64

Look at this curve of best fit. Read off the graph and determine what the y value would be when the x value is 7.

• 260

• 240

• 140

• 320

What type of function does this scatterplot represent?

• constant function

• linear function

• quadratic function

• cubic function

When using Desmos to find the curve of best fit for a quadratic function, what do I need to enter?

• y₁ ~ mx₁ + b

• y₁ ~ ax₁³ + bx₁² + cx₁ + d

• y₁ ~ ax₁² +bx₁ + c

• y = ax² + bx + c

A fifth grade class conducted a 5-minute experiment that involved heating time and water temperature. The results of the experiment are represented in this line graph. What prediction can be made based on the information gathered?

• The water temperature remains the same as the heating time continues.

• The water temperature decreases as the heating time continues.

• A pattern cannot be determined between these measurements.

• The water temperature increases as the heating time continues.

A group of friends recorded the time it took to ride their bikes around the park. This scatter plot shows their results with the line of best fit. Which is closest to the number of minutes it would take to complete 9 laps?

• 4

• 5

• 6

• 7

About how many male math teachers were there in 2006?

• 15
• 30
• 35
• 45

Which of the following is the graph of  $y=-x³+12x²-48x+66$  

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