Use the vertical line test to identify graphs in which y is a function of x.
Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
2. Graphs of Equations
Graphs and Coordinates
Problem 72
Textbook Question
Use the graph of g to solve Exercises 71–76.

Find g(2)
Verified step by step guidance1
Identify the function g on the graph, which is represented by the red line with points marked.
Locate the x-value of 2 on the horizontal axis (x-axis).
From x = 2, move vertically upwards or downwards until you reach the point on the graph of g.
Determine the y-coordinate of the point on the graph directly above or below x = 2. This y-coordinate is the value of g(2).
Write the value of g(2) as the y-coordinate found in the previous step.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Function Notation
Function notation, such as g(2), represents the output value of the function g when the input is 2. It is a way to denote the relationship between input values (domain) and output values (range) in a function.
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Reading a Graph of a Function
To find g(2) from a graph, locate the input value 2 on the x-axis, then find the corresponding point on the graph. The y-coordinate of this point is the value of g(2). This process helps visualize how the function behaves.
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Graphs of Logarithmic Functions
Coordinate Plane and Points
The coordinate plane consists of an x-axis (horizontal) and y-axis (vertical). Points on the graph are represented as (x, y), where x is the input and y is the output. Understanding how to interpret these points is essential for analyzing functions.
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Graphs & the Rectangular Coordinate System
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Textbook Question
Use the vertical line test to identify graphs in which y is a function of x.
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Textbook Question
Use the vertical line test to identify graphs in which y is a function of x.
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