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Two linear functions are described verbally. Find equations for the functions, and find the point at which the graphs of the two functions intersect. The graph of the linear function f has x-intercept 6 and y-intercept -3; the graph of the linear function g has x-intercept -6 and y-intercept 18. f(x) = 6 g(x) = -3 (x, y) = 6,-3

Two linear functions are described verbally. Find equations for the functions, and find the point at which the graphs of the two functions intersect. The graph of the linear function f has x-intercept 6 and y-intercept -3; the graph of the linear function g has x-intercept -6 and y-intercept 18. f(x) = 6 g(x) = -3 (x, y) = 6,-3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Title: Solving for Intersection of Linear Functions** Two linear functions are described verbally. Find equations for the functions, and find the point at which the graphs of the two functions intersect. **Problem Details:** - The graph of the linear function \( f \) has: - \( x \)-intercept: 6 - \( y \)-intercept: -3 - The graph of the linear function \( g \) has: - \( x \)-intercept: -6 - \( y \)-intercept: 18 **Tasks:** 1. Find \( f(x) \) and \( g(x) \). 2. Determine the point of intersection of the two functions. **Input Interface:** - Inputs for \( f(x) \) and \( g(x) \) along with the coordinates of the intersection point \((x, y)\). **Visual Feedback:** - The symbols "✗" indicate incorrect input for equations or intersection point. **Interactive Element:** - A "Watch It" button is available for additional help. **Note:** Use the given intercepts to formulate the equations of the linear functions and solve for the intersection point by setting them equal.
Transcribed Image Text:**Title: Solving for Intersection of Linear Functions** Two linear functions are described verbally. Find equations for the functions, and find the point at which the graphs of the two functions intersect. **Problem Details:** - The graph of the linear function \( f \) has: - \( x \)-intercept: 6 - \( y \)-intercept: -3 - The graph of the linear function \( g \) has: - \( x \)-intercept: -6 - \( y \)-intercept: 18 **Tasks:** 1. Find \( f(x) \) and \( g(x) \). 2. Determine the point of intersection of the two functions. **Input Interface:** - Inputs for \( f(x) \) and \( g(x) \) along with the coordinates of the intersection point \((x, y)\). **Visual Feedback:** - The symbols "✗" indicate incorrect input for equations or intersection point. **Interactive Element:** - A "Watch It" button is available for additional help. **Note:** Use the given intercepts to formulate the equations of the linear functions and solve for the intersection point by setting them equal.
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