Regents Exam: Algebra I August 2016 (Problem 4 of 37)

The video tutorial explains how to determine which chart represents the function F(x) = -2x + 6. It begins by introducing the problem and suggests a systematic approach to test each point in the charts. The tutorial then discusses more efficient strategies, focusing on the function's slope and y-intercept. By analyzing these, the correct chart is identified and confirmed through slope calculation.

What is the function we are trying to represent with a chart?

• F(x) = 2x + 6

• F(x) = -2x + 6

• F(x) = -2x - 6

• F(x) = 2x - 6

Why is it important for all points in a chart to satisfy the function?

• To simplify the calculation process

• To ensure the chart accurately represents the function

• Because only one point needs to be correct

• To make the chart look symmetrical

What happens if one point in a chart does not satisfy the function?

• The function is adjusted to fit the point

• The point is ignored

• The chart is automatically eliminated

• The chart is still considered correct

What is the slope of the function F(x) = -2x + 6?

• 2

• -6

• 6

• -2

How do you confirm that a chart correctly represents the function?

• By checking if the chart is colorful

• By calculating the slope between two points

• By ensuring the chart has more than four points

• By checking if the chart is symmetrical