Problem Solving on Rational Equation

In a by meter relay, runner 1 is twice as fast as runner 2, runner 3 is two times as fast as runner 1 and runner 4 is mps (meters per second) slower than runner 2. Each runner covers a Read More …

Domain, Range, Equations of the Vertical and Horizontal Asymptotes, and Graph of Rational Functions

Given the rational function . Determine the following: Domain Range Equation of the Vertical Asymptote Equation of the Horizontal Asymptote Graph of the function   Solutions: 1. Writing the Domain of the Rational Function The domain of the rational function Read More …

Problem Solving on Rational Functions

In the following formula, is the number of hours of studying required to attain a test score of in the periodical exam: How many hours of study are needed to score ? What score can you get if you study Read More …

Solving Hyperbola given its Standard Form

The standard form of the equation of the parabola is . Find the following: General equation of the Hyperbola Coordinates of the Vertices Coordinates of the Covertices Coordinates of the Foci Equation of the Transverse Axis Length of the Transverse Read More …

Writing the General Equation of the Parabola Given Some Conditions

A satellite dish in the shape of paraboloid is ft. across and ft. deep at its vertex. How far is the receiver from the vertex, if it is placed at the focus? Write the general equation of the parabola. Some Read More …

Writing the General Equation of an Ellipse Given the Coordinates of the Vertices and the Length of the Minor Axis

The vertices of the ellipse are at and and the length of the minor axis is . Some Properties of Ellipse The coordinates of the center of the ellipse is the point . The endpoints of the major axis are Read More …

Representing Piece-Wise Function: Tax Table

Below is the tax table for an individual in a certain country: Amount of Net Taxable Income Rate Over But not over   10,000 5% 10,000 30,000 500 + 10% of the Excess  over 10,000 30,000 70,000 2,500 + 15% Read More …

Writing the General Equation of the Circle Given the Coordinates of the Endpoints of the Diameter

Write the general equation of the circle  given the coordinates of the endpoints of the diameter  and . Recall Some Properties of the Circle: The standard form of the equation of the circle is given in the form where the Read More …

Operations on Integers

First, let’s define an integer. So what is an integer? A set of positive and negative whole numbers including zero. They can be illustrated through the number line.

Limit of a Function

Introduction is read as the limit of as approaches to is .