TI-89 Graphing Calculator: Finding Horizontal Intercepts

This tutorial explains how to find horizontal intercepts (x-intercepts) of functions using the TI-89 graphing calculator. It covers entering functions, graphing them, adjusting window settings, and using the calculator's math menu to find intercepts. The video also demonstrates how to find exact intercepts using the algebra menu when the calculator provides decimal approximations, highlighting the importance of understanding irrational numbers.

What is the first step in finding horizontal intercepts using the TI-89 calculator?

• Press the graph button

• Use the zero function

• Adjust the window settings

• Enter the function into the calculator

Which menu option is used to adjust the graph window on the TI-89?

• F3 for Graph

• F5 for Math

• F1 for Y= screen

• F2 for Zoom

How do you determine the lower bound when finding a horizontal intercept?

• Move the cursor above the intercept

• Move the cursor to the right of the intercept

• Move the cursor below the intercept

• Move the cursor to the left of the intercept

What are the coordinates of the first horizontal intercept found in the tutorial?

• 5, 0

• 0, 1.5

• -5, 0

• 1.5, 0

Why is it important to express horizontal intercepts as ordered pairs?

• They are always integers

• They are easier to calculate

• They simplify the graph

• They represent points on the function

What is the first step in graphing a new function on the TI-89?

• Press F5 for Math

• Press Diamond F1 for Y= screen

• Press Diamond F3 for Graph

• Press F2 for Zoom

What does it mean if the calculator gives decimal approximations for intercepts?

• The intercepts are rational

• The intercepts are irrational

• The function is incorrect

• The window settings are wrong

How can you find the exact coordinates of irrational intercepts?

• Use the graphing screen

• Use the solve function from the algebra menu

• Adjust the window settings

• Use the zoom function

What is the exact coordinate of the second intercept for the function g(x)?

• Square root 14 minus two, 0

• Negative square root 14 minus two, 0

• 1.5, 0

• -5, 0

What mode should the calculator be in to find exact x coordinates of intercepts?

• Exact or automatic mode

• Graph mode

• Approximate mode

• Decimal mode