Domanda del libro di testo
Find a. (fog) (x) b. the domain of f o g.
f(x) = x² + 4, g(x) = √(1 − 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 72a
Use intercepts to graph each equation. 6x-3y+15=0
Guida verificata passo dopo passo1
Rewrite the equation in standard form to make it easier to find the intercepts: .
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 the 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 to graph the equation. This line represents the solution to the equation .
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Intercepts
Intercepts are points where a graph intersects the axes. The x-intercept occurs when y=0, and the y-intercept occurs when x=0. For the equation 6x - 3y + 15 = 0, finding these intercepts helps in plotting the graph accurately.
Video consigliato:
04:08
Graphing Intercepts
Linear Equations
A linear equation represents a straight line when graphed on a coordinate plane. The general form is Ax + By + C = 0, where A, B, and C are constants. The equation given can be rearranged to slope-intercept form (y = mx + b) to identify the slope and y-intercept.
Video consigliato:
06:00Categorizing Linear Equations
Graphing Techniques
Graphing techniques involve methods to visually represent equations on a coordinate plane. For linear equations, plotting the intercepts and using the slope to find additional points allows for an accurate representation of the line. Understanding these techniques is essential for effective graphing.
Video consigliato:
02:16Graphs and Coordinates - Example
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Domanda del libro di testo
Find a. (fog) (x) b. the domain of f o g.
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Domanda del libro di testo
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)
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Domanda del libro di testo
Use the graph of g to solve Exercises 71–76.
Find g(2)
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