Finding Intercepts and Patterns in Functions

The video tutorial explains how to find x and y intercepts using tables. It begins with a recap of intercepts, then demonstrates finding the x-intercept by identifying where y equals zero. The tutorial continues with finding the y-intercept by expanding the table and identifying patterns in the values. The process involves arithmetic operations to determine missing values and concludes with a summary of the methods used.

What is the x-intercept of a function?

• The point where the graph is at its maximum

• The point where both x and y are zero

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

When finding the x-intercept, what value should y be?

• Any positive number

• 1

• Any negative number

• 0

What is the first step in finding the y-intercept using a table?

• Identify when y is zero

• Identify when x is zero

• Find the maximum value of y

• Find the minimum value of x

Why might a larger table be necessary when finding the y-intercept?

• To include more positive values

• To include more negative values

• To ensure zero is included in the x values

• To make calculations easier

What pattern is used to fill in missing values in the table?

• Dividing by 2

• Adding 1.5

• Multiplying by 3

• Subtracting 2

If the pattern is adding 1.5, what is the next value after -9?

• -7.5

• -10.5

• -6

• -8

What is the y-intercept if the pattern is reversed?

• 0, -3

• 0, -10.5

• 0, -6

• 0, -7.5

What operation is used to reverse the pattern when finding the y-intercept?

• Multiplying by 1.5

• Subtracting 1.5

• Adding 1.5

• Dividing by 1.5

What is the result of subtracting 1.5 from -9?

• -7.5

• -6

• -8

• -10.5

What is the significance of finding both x and y intercepts?

• They show where the function is undefined

• They indicate the maximum value of the function

• They help in graphing the function

• They determine the slope of the line