Ch 39: TACHS: Graphing Functions

About This Chapter

Reinforce your understanding of what functions are and how to graph them in this chapter of our TACHS test prep course. By strengthening your skills with this review, you can improve your ability to answer the questions on the TACHS exam correctly.

TACHS: Graphing Functions - Chapter Summary

Before taking the TACHS exam, review the ins and outs of working with functions through these short video lessons. Gain confidence as you rediscover what you may already know and pick up some new information along the way. In these lessons, you will find information on:

  • How to graph functions
  • Types of functions
  • Slope and line intercepts
  • The point-slope, distance and mid-point formulas
  • Parabola forms
  • Graphing cubics, quartics and more

Our lessons are designed to appeal to several learning styles. If you are a visual or audio learner, our short, engaging lessons are for you. If you prefer written text, written transcripts are available. Links between the quizzes and the video lessons make referral back and forth convenient, and our subject-matter experts are available to answer questions if you need help.

TACHS: Graphing Functions Chapter Objectives

There are four subtests that make up the TACHS exam, which is a requirement for admission into many Catholic high schools. You will be tested for your skills in reading, writing, general reasoning and mathematics. This chapter aligns with some of the material in the mathematics subtest.

All of the questions on the TACHS exam are multiple choice. You will take the test using pencil and paper. Each question offers a choice of possible answers and you must select the correct one.

10 Lessons in Chapter 39: TACHS: Graphing Functions
Test your knowledge with a 30-question chapter practice test
Graph Functions by Plotting Points

1. Graph Functions by Plotting Points

Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.

Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

2. Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

Functions do all kinds of fun things. In this lesson, learn how to identify traits of functions such as linear or nonlinear, increasing or decreasing and positive or negative.

How to Find and Apply The Slope of a Line

3. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

How to Find and Apply the Intercepts of a Line

4. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

Equation of a Line Using Point-Slope Formula

5. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

How to Use The Distance Formula

6. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

How to Use The Midpoint Formula

7. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

What is a Parabola?

8. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

Parabolas in Standard, Intercept, and Vertex Form

9. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

How to Graph Cubics, Quartics, Quintics and Beyond

10. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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