Textbook Question
Use intercepts to graph each equation. 6x-3y+15=0
Ch. 2 - Functions and Graphs
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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Table of contents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Chapter 3, Problem 72
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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Interval Notation
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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5:26Graphs 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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Guided course
05:10Graphs & the Rectangular Coordinate System
Related Practice
Textbook Question
Find a. (fog) (x) b. the domain of f o g.
f(x) = x² + 4, g(x) = √(1 − x)
Textbook Question
Use the graph of g to solve Exercises 71–76.
Find g(-4)
Textbook Question
Begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. h(x)=-√(x + 1)
Textbook Question
Find a. (fog) (x) b. the domain of f o g.
f(x) = √x, g(x) = x − 2
Textbook Question
Find the slope of the line passing through each pair of points or state that the slope is undefined. Assume that all variables represent positive real numbers. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-a, 0) and (0, -b)