Видео

In this video, we look at examples of testing the symmetry of functions to determine if they are odd, even or neither. We also look at the graphs to see how the graphs behave when you replace x with -x to test for symmetry.

In this video, we walk through an application of finding the equation of the distance between a function and a point in space, generating an equation based on the distance formula. Then we plot the resulting function to obtain local minima and maxima.

In this video, we walk through completing the square on the general form of a circle and putting it in standard form based on its center and radius.

In this video, we find the distance between two points in the plane, and the midpoint of the line segment connecting them. One example uses integers and creates an equation of circle if the points were the endpoints of a diameter. The second example uses points expressed as fractions.

In this video, we look at functions and identify the base functions and the transformations being applied to the function.

In this video, we walk through an example of finding inverses for functions that are not inherently one-to-one, but can be made one-to-one by restricting the domain of the function.

In this video, we walk through some examples of finding the inverses of one-to-functions such as linear, cubic and rational functions. We also plot the functions and their inverses to note their symmetry across the line y=x.

In this video, we walk through some examples of decomposing a complex function h(x) into two functions f(x) and g(x) so that h(x)=f(g(x)).

In this video, we look at performing operations on functions: addition, subtraction, multiplication, division and composition, and then find the domain of the resulting functions.

In this video, we walk through several examples of finding the equation of a line from different starting points. We have lines from two points, a slope and a point, parallel and perpendicular to a line through a given point.

In this video we walk through some examples of analyzing the properties of functions from piecewise graphs. Those properties include: domain, range, intervals where increasing, decreasing, or constant, and max/min.

In this video, we walk through two examples of using Excel to evaluate limits numerically.

In this video, we use Excel to evaluate the Bisection Method Algorithm for estimating zeros of a polynomial.

In this video, we walk through several examples of solving absolute value inequalities graphically. Examples include problems with two absolute value expressions, double inequalities, quadratics inside the absolute values, and absolute value expressions multiplying non-absolute value expressions. Exact values for interval endpoints are obtained algebraically where necessary.

Quadratic Inequalities

Simplifying Complex Fractions (involving radicals)

Simplifying Complex Fractions

Solving a Double Inequality

Solving Absolute Value Inequalities

Solving a Linear Inequality

Solving an Absolute Value equation

Solving Radical Equations (with square roots)

Solving quadratic equations (completing the square, quadratic formula)

Solving a rational equation

Solving a linear equation in one variable with integer coefficients

Finding and simplifying a difference quotient for a radical function

Finding and simplifying the difference quotient with a rational function

Finding the difference quotient for a polynomial function

Finding the distance between a point and a line in 3-space