Understanding Relative Extrema on the TI-89

This tutorial explains how to determine relative extrema using the TI-89 calculator. It covers graphing functions f(x) and g(x), identifying relative minima and maxima, and understanding the significance of these points. The video provides step-by-step instructions for using the calculator to find these extrema, emphasizing the importance of recognizing function values and their locations.

What is the primary goal of the tutorial on the TI-89 calculator?

• To learn how to graph linear functions

• To determine relative extrema for functions

• To calculate derivatives

• To solve algebraic equations

Tags

CCSS.HSF-IF.C.7A

Which key combination is used to access the Y equals screen on the TI-89?

• Diamond F4

• Diamond F3

• Diamond F1

• Diamond F2

Tags

CCSS.HSF-IF.C.7A

What type of graph does the function f(x) produce?

• A line

• An ellipse

• A circle

• A parabola

How is the relative minimum of f(x) identified on the graph?

• By finding the intersection

• By finding the highest point

• By finding the lowest point

• By finding the midpoint

What is the y-value of the relative minimum for f(x)?

• -6.25

• 0.5

• 6.25

• -0.5

Which function is graphed after f(x) in the tutorial?

• h(x)

• j(x)

• g(x)

• k(x)

Tags

CCSS.HSF-IF.C.7E

What adjustment is made to the window settings to better view g(x)?

• Decrease Y minimum

• Increase X maximum

• Decrease X minimum

• Increase Y maximum

What are the coordinates of the relative maximum for g(x)?

• -1, 9.5

• 3, 12

• 0.5, -6.25

• 4, 53

What is the significance of the x-value in determining relative extrema?

• It represents the derivative

• It represents the slope

• It represents the location

• It represents the function value

What is the y-value of the relative minimum for g(x)?

• -6.25

• 0.5

• 9.5

• -53