Mathematical Models and Their Graphs

The video tutorial explains the differences between linear, exponential, and quadratic models. It covers the equations for each model and how they are represented graphically. Linear models form straight lines, exponential models form curves, and quadratic models form parabolas. The tutorial also demonstrates how to identify these models using tables of values and graph analysis.

Which of the following is NOT a type of mathematical model discussed?

• Linear Model

• Exponential Model

• Cubic Model

• Quadratic Model

What is the general form of a linear model equation?

• y = a/x

• y = ax^2 + bx + c

• y = a * b^x

• y = mx + b

How does a linear model appear when graphed?

• As a parabola

• As a straight line

• As a circle

• As a curve

What is the equation for an exponential model?

• y = a/x

• y = ax^2 + bx + c

• y = a * b^x

• y = mx + b

What type of graph does an exponential model create?

• A zigzag

• A curve

• A parabola

• A straight line

Which equation represents a quadratic model?

• y = ax^2 + bx + c

• y = a/x

• y = a * b^x

• y = mx + b

What shape does a quadratic model form on a graph?

• A curve

• A parabola

• A straight line

• A zigzag

If a table of values shows a constant addition between y-values, what type of model is it likely to represent?

• Quadratic

• Cubic

• Linear

• Exponential

When examining ratios between y-values in a table, which model might it indicate if the ratios are constant?

• Linear

• Cubic

• Exponential

• Quadratic

What type of graph represents exponential decay?

• A downward curve

• A straight line

• A circle

• An upward parabola