Instructional Video
Sophia Learning

Sophia: Undefined and Indeterminate Limit Values: Lesson 1

9th - 10th
The concepts of undefined and indeterminate limits, and their dependence on the values of the numerator and denominator of a rational function are discussed here. This lesson is 1 of 5 in the series titled "Undefined and Indeterminate...
Instructional Video
Sophia Learning

Sophia: Vertical Asymptotes in Rational Equations: Lesson 2

9th - 10th
Vertical asymptotes and how they relate to rational equations is discussed here. This lesson is 2 of 4 in the series titled "Vertical Asymptotes in Rational Equations."
Instructional Video
Sophia Learning

Sophia: Vertical Asymptotes in Rational Equations: Lesson 4

9th - 10th
Vertical asymptotes and how they relate to rational equations is discussed here. This lesson is 4 of 4 in the series titled "Vertical Asymptotes in Rational Equations."
Instructional Video
Sophia Learning

Sophia: Division by One and Zero

7th - 8th
This lesson demonstrates division by one and zero.
Instructional Video
Sophia Learning

Sophia: Finding a Vertical Tangent: Lesson 3

9th - 10th
This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 3 of 7 in the series titled "Finding a Vertical Tangent."
Instructional Video
Sophia Learning

Sophia: Division by One and Zero

7th - 8th
This lesson demonstrates division by one and zero.
Instructional Video
Sophia Learning

Sophia: Vertical Asymptotes in Rational Equations: Lesson 1

9th - 10th
Vertical asymptotes and how they relate to rational equations is discussed here. This lesson is 1 of 4 in the series titled "Vertical Asymptotes in Rational Equations."
Instructional Video
Sophia Learning

Sophia: Finding the Intervals of a Function: Lesson 2

9th - 10th Standards
This lesson practices using the derivative to establish various kinds of endpoints for intervals of a function. It is 2 of 6 in the series titled "Finding the Intervals of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Intervals of a Function: Lesson 3

9th - 10th Standards
This lesson practices using the derivative to establish various kinds of endpoints for intervals of a function. It is 3 of 6 in the series titled "Finding the Intervals of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Intervals of a Function: Lesson 5

9th - 10th Standards
This lesson practices using the derivative to establish various kinds of endpoints for intervals of a function. It is 5 of 6 in the series titled "Finding the Intervals of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Intervals of a Function: Lesson 6

9th - 10th
This lesson practices using the derivative to establish various kinds of endpoints for intervals of a function. It is 6 of 6 in the series titled "Finding the Intervals of a Function."