Domanda del libro di testo
In Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)
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Ch. 2 - Functions and Graphs
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- 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
Capitolo 3, Problema 50
Graph using intercepts: 2x - 5y - 10 = 0
Guida verificata passo dopo passo1
Rewrite the equation in standard form if necessary. The given equation is already in standard form: .
To find the x-intercept, set in the equation and solve for . Substitute into , which simplifies to . Solve for .
To find the y-intercept, set in the equation and solve for . Substitute into , which simplifies to . Solve for .
Plot the x-intercept and y-intercept on a coordinate plane. The x-intercept is the point where the graph crosses the x-axis, and the y-intercept is the point where the graph crosses the y-axis.
Draw a straight line through the two intercepts. This line represents the graph of the equation .
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Intercepts
Intercepts are points where a graph crosses the axes. The x-intercept occurs when y = 0, and the y-intercept occurs when x = 0. Finding these points is essential for graphing linear equations, as they provide two key coordinates that define the line's position on the Cartesian plane.
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Graphing Intercepts
Linear Equations
A linear equation is an equation of the first degree, meaning it can be expressed in the form Ax + By + C = 0, where A, B, and C are constants. The graph of a linear equation is a straight line, and understanding its structure helps in identifying its slope and intercepts, which are crucial for graphing.
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06:00Categorizing Linear Equations
Slope-Intercept Form
The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept. While the question focuses on intercepts, converting the equation to this form can provide additional insights into the line's steepness and direction, enhancing the graphing process.
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03:56Slope-Intercept Form
Pratica correlata
Domanda del libro di testo
In Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)
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Give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. (x + 1)² + y² = 25
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Use the graph of y = f(x) to graph each function g. g(x) =(1/2) f(2x)
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Find
a. (fog) (x)
b. (go f) (x)
c. (fog) (2)
d. (go f) (2).
f(x) = 2x, g(x) = x+7
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Domanda del libro di testo
In Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)
1046
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