Comparing Linear, Exponential, and Quadratic Functions

Mrs. Yad teaches Algebra 1, Chapter 8, Lesson 6, focusing on comparing linear, exponential, and quadratic functions. The lesson covers identifying these functions through graphs and numerical differences, providing examples and exercises to reinforce understanding. Students learn to write equations for these functions and explore additional examples to solidify their knowledge.

What type of function is represented by a straight line on a graph?

• None of the above

• Quadratic

• Exponential

• Linear

Which function type is suggested by a U-shaped graph?

• None of the above

• Linear

• Exponential

• Quadratic

Which type of function has a common ratio in its sequence of values?

• None of the above

• Exponential

• Quadratic

• Linear

If the second differences in a sequence are constant, the function type is:

• None of the above

• Exponential

• Quadratic

• Linear

In a linear function, what remains constant across computed differences?

• Second differences

• Common ratio

• Variable coefficients

• First differences

What error did the teacher suspect in the textbook regarding function types?

• Incorrect function graph

• Numerical error in examples

• Mislabeling of function types

• All of the above

Which form is used to write the equation of a linear function?

• Standard form

• Vertex form

• Intercept form

• Slope-intercept form

What indicates a quadratic function when analyzing a table of values?

• None of the above

• Constant common ratio

• Constant second differences

• Constant first differences

How is the slope of a linear function determined?

• Difference of Y values over X values

• Sum of Y values over X values

• Rate of change of Y over X

• Y-intercept over X-intercept

What is the role of the 'a' value in the intercept form of a quadratic equation?

• None of the above

• Indicates the X-intercepts

• Sets the maximum or minimum value

• Determines the width of the parabola