Find answers to the top 10 questions parents ask about TI graphing calculators.
Learn about the math and science behind what students are into, from art to fashion and more.
Discover new ways to help students succeed in math, science and STEM using TI technology.
Get hundreds of video lessons that show how to graph parent functions and transformations.
Texas Instruments
9-12
15 Minutes
In this activity, students will observe the slopes of the secant line and tangent line as point Q on the function approaches the other point P.
In this activity, students will explore graphically, numerically, and algebraically. First, students will graph the function y1(x) = x2 and the tangent to the function at x = 1.
Students will then graph the secant line and compare it to the tangent line as the slope decreases and the intersection points of the secant line and function curve get closer together.
Students will then calculate the average rate of change of y1(x) on an interval and use the slope of the secant line to estimate the instantaneous rate of change of y1(x) at a given x value.
TI websites use cookies to optimize site functionality and improve your experience. To find out more or to change your preferences, see our cookie policy page. Click Agree and Proceed to accept cookies and enter the site.
You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories.