Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

2. Graphs of Equations

Graphs and Coordinates

College Algebra

2. Graphs of Equations

Graphs and Coordinates

1:10 minutes

Problem 6

Textbook Question

In Exercises 6–8, use the graph and determine the x-intercepts if any, and the y-intercepts if any. For each graph, tick marks along the axes represent one unit each.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

X-Intercept

The x-intercept of a graph is the point where the graph crosses the x-axis. At this point, the value of y is zero. To find the x-intercept, you can set the equation of the line to zero and solve for x. In the context of the provided graph, identifying the x-intercept involves locating the point where the orange line intersects the x-axis.

Y-Intercept

The y-intercept of a graph is the point where the graph crosses the y-axis, where the value of x is zero. To determine the y-intercept, you set the equation of the line to zero and solve for y. In the given graph, the y-intercept can be found by observing where the orange line intersects the y-axis.

Graph Interpretation

Graph interpretation involves analyzing the visual representation of mathematical functions to extract information such as intercepts, slopes, and trends. Understanding how to read a graph is crucial for solving problems related to linear equations, as it allows you to identify key features like intercepts and the overall behavior of the function represented by the graph.