Understanding Relationships in Functions

This video tutorial teaches how to write equations from graphs by first creating tables of values from ordered pairs. It covers both additive and multiplicative relationships, explaining how to identify patterns and form equations. The lesson includes examples and concludes with a brief introduction to graphing equations from given equations.

What is the first step in writing an equation from a graph?

• Calculate the y-intercept

• Draw a new graph

• Make a table of values from ordered pairs

• Identify the slope of the line

How can you remember the order of quadrants in a coordinate plane?

• By the colors of the quadrants

• By the size of the quadrants

• By the letter C for coordinate

• By the numbers of the quadrants

In the example of Gus at the fair, what is the relationship between total spent and rides?

• The total is always twice the rides

• The total is always equal to the rides

• The total is always ten dollars more than the rides

• The total is always half the rides

What equation represents the relationship between total spent and rides in Gus's example?

• t = 10r

• t = r - 10

• t = r / 10

• t = r + 10

In the strawberries and jam example, what is the first ordered pair?

• (6, 15)

• (4, 10)

• (2, 5)

• (0, 0)

What pattern is observed in the strawberries and jam example?

• Divide x by 2 to get y

• Subtract 2 from x to get y

• Multiply x by 2.5 to get y

• Add 3 to x to get y

How do you determine if a relationship is multiplicative?

• By adding the values

• By subtracting the values

• By dividing the values

• By multiplying the values

What is the equation derived from the multiplicative relationship example?

• y = 2x

• y = 2.5x

• y = x + 2.5

• y = x - 2.5

In the final example, what is the relationship between x and y?

• y is always x minus 2

• y is always x plus 2

• y is always 2 times x

• y is always 3 times x

What is the equation for the final example's graph?

• y = 3x

• y = 2x

• y = x + 3

• y = x - 3