Week 14 – precalculus 11

Equivalent Rational Expressions: To simplify a Rational Expression, we must factor the numerator and denominator, cancel out any common factors and find the Non-permissible values. We can better understand this by showing it. If we are given the expression We will then simplify or factor the top and bottom Now in a fraction, the denominator […]

Week 13 – precalculus 11

Graphing Ablsolute Value Functions and Piecewise Notation The way absolute value functions work is that the points can never be negative, so the line never goes into the negative zone on the graph. It will reflect back up instead. The point where it reflects on the x axis is called the critical point or x-intercept. […]

Week 12 – precalculus 11

Solving Systems of Equations Algebraically In this case, we will be using liner-quadratic systems. A system is a series of two equations in which you can substitute one equation and put it in the other and use this to find the values for x, usually by factoring at one point. You can also find Y […]

Week 11 – precalculus 11

Graphing Linear Inequalities with Two Variables: Linear Inequalities will give us a straight line on a graph. Not only do we need to know how this line looks using the equation, but we also need to understand where the answers to the inequality lies. When we are given inequalities we are usually given a y […]

Week 10 – precalculus 11

Dividing Radical Expressions: Dividing radicals is not as easy as multiplying, though it does include multiplying. We will need to use distributive property and potentially adding to rationlize the denominator. We cannot divide by a radical so we must make the denominator a whole number. We normally multiply the denominator by itself and multiply that […]

Week 9 – precalculus 11

Equivalent Forms of the Equation of a Quadratic Functions and finding x-ints: If one is given the equation it may seem like there is no way to find the vertex or starting point of the parabola, a line that goes down but then goes back up after a certain point. If we needed to find […]

Week 8 – precalculus 11

Transforming the Graph of There are three equations:     The first one adds q to the parent function of , this decides the Y intercept and so the parent either goes up or down when this is applied. The second one changes the x intercept and there changes the parabola side to side, if p […]

Week 7– precalculus 11

Discriminant: This week in precalculus we learned about the discriminant of the quadratic formula and how to use it to find information. By using the formula , we can find the discriminant. This section of the quadratic formula tells us whether a quadratic equation has zero, one, or two roots. We call this the discriminant […]

Week 6 – precalculus 11

This week in Precalculus 11, we learned how to develop and use the Quadratic Formula. In our learning, quadratic equations take the form of, . If we complete the square of this equation, we get another formula that can be used to determine solutions to any and all quadratic equations written in the same form […]

Week 5 – precalculus 11

Identifying Extraneous Roots: Extraneous roots are found when a variable discovered after solving an equation is not true if used in the original equation. In other words, it’s a root found by squaring both sides, it is not a root in the equation you started with. To show this, we could use an equation like […]