Exploring 8th Grade Functions Concepts

Miss Bivens introduces a review of functions for eighth graders, emphasizing the importance of keeping notes. The video covers the definition of functions, their representation through verbal descriptions, equations, tables, and graphs. It explains the differences between linear and non-linear functions, focusing on constant rates of change and graph characteristics. The video also details how to find the slope and y-intercept, using examples to illustrate these concepts. Finally, students are guided through practice assessments to reinforce their understanding.

What is a function?

• A graph that forms a circle.

• A rule that describes a relationship between two variables.

• A random assignment of values.

• A set of unrelated numbers.

In a function, what is the input value commonly referred to as?

• Output

• X value

• Y value

• Constant

How can functions be represented?

• Only through equations

• Only through graphs

• Through verbal descriptions, equations, tables, and graphs

• Only through tables

What is the rule for the function described as 'a machine gives two pieces of candy each time you deposit 25 cents'?

• Deposit 25 cents to get one piece of candy

• Deposit 10 cents to get one piece of candy

• Deposit 25 cents to get two pieces of candy

• Deposit 50 cents to get one piece of candy

What is a key characteristic of a linear function?

• The rate of change is constant

• The graph forms a curve

• The rate of change varies

• The graph forms a circle

Which of the following indicates a non-linear function?

• The input variable has an exponent of one

• The graph forms a straight line

• The rate of change is not constant

• The rate of change is constant

What is the formula for slope?

• m = X1 - X2 / Y1 - Y2

• m = X2 - X1 / Y2 - Y1

• m = Y2 - Y1 / X2 - X1

• m = Y1 - Y2 / X1 - X2

How do you find the y-intercept on a graph?

• Look for where the line touches the x-axis

• Look for where the line touches the y-axis

• Find the highest point on the graph

• Find the lowest point on the graph

If Jake's mother loans him $50 and he pays back $2.50 per week, what is the initial value in the equation?

• $2.50

• -$2.50

• $50

• -$50

What is the slope in the equation y = 2.5x - 50?

• -2.5

• 50

• -50

• 2.5