Understanding Linear Functions and Graphs

The video tutorial covers the TCAP 8th grade practice test, focusing on question three, which involves identifying non-linear functions. The instructor explains the difference between linear and non-linear functions, emphasizing the use of a graphing calculator, specifically a TI-84 Plus, to visualize these functions. The tutorial demonstrates how to graph functions like y=5, y=3x, and y=5x^2-2, highlighting that linear functions form straight lines while non-linear functions, such as those with x squared, form curves. The video concludes with strategies for identifying non-linear functions, either by understanding the function properties or by graphing them.

What is the main purpose of the TCAP 8th grade practice test video?

• To prepare for a history exam

• To learn about chemical reactions

• To practice graphing calculator skills

• To teach basic arithmetic

What does the term 'linear' imply about a function?

• It forms a curve

• It is a straight line

• It is a circle

• It is a zigzag

What does the prefix 'non' signify in 'non-linear'?

• Very

• Not

• Sometimes

• Always

Which of the following is a characteristic of a linear function?

• It forms a parabola

• It has a constant slope

• It has a variable slope

• It forms a circle

What shape does a function with x squared typically form?

• A rectangle

• A straight line

• A parabola

• A triangle

What tool is recommended for identifying function types in the video?

• A protractor

• A compass

• A graphing calculator

• A ruler

What is the result of graphing y = 5?

• A zigzag

• A circle

• A straight line

• A curve

What does the graph of f(x) = 3x look like?

• A circle

• A curve

• A straight line

• A zigzag

What type of function is f(x) = 5x^2 - 2?

• Linear

• Non-linear

• Exponential

• Logarithmic

What is the shape of the graph for f(x) = 5x^2 - 2?

• A straight line

• A parabola

• A circle

• A zigzag