Use your GDC to solve given equation graphically. x + 3 2 x - 1 = 4 - x

Let us consider f x = x + 3 2 x - 1 and g x = 4 - x To sketch the graph of f x = x + 3 2 x - 1 : x - 4 - 3 - 2 - 1 0 1 2 3 4 f x 0 . 11 0 - 0 . 2 - 0 . 66 - 3 4 1 . 667 1 . 2 1 To sketch the graph of g x = 4 - x : x - 4 - 3 - 2 - 1 0 1 2 3 4 g x 8 7 6 5 4 3 2 1 0 Using the above points plot the graph of f x and g x From the graph it is clear that f x and g x intersect at x = 1 . 293 and x = 2 . 707 .

Use your GDC to solve given equation graphically. 10 x + 3 2 x + 4 = 4 - x 2

Let us consider f x = 10 x + 3 2 x + 4 and g x = 4 - x 2 To sketch the graph of f x = 10 x + 3 2 x + 4 : x - 4 - 3 - 2 - 1 0 1 2 3 4 f x 9 . 25 13 . 5 undefined - 3 . 5 0 . 75 2 . 166 2 . 875 3 . 3 3 . 58 To sketch the graph of g x = 4 - x 2 : x - 4 - 3 - 2 - 1 0 1 2 3 4 g x - 12 - 5 0 3 4 3 0 - 5 - 12 Using the above points plot the graph of f x and g x From the graph it is clear that f x and g x intersect at x = 1 . 266 .

E M B I B E

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 4 - Equivalent Representations: Rational Functions>Chapter review

Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Equivalent Representations: Rational Functions, Exercise 29: Chapter review

Author:Natasha Awada, Paul La Rondie, Laurie Buchanan & Jill Stevens

Natasha Awada Mathematics Solutions for Exercise - Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Equivalent Representations: Rational Functions, Exercise 29: Chapter review

Attempt the practice questions on Chapter 4: Equivalent Representations: Rational Functions, Exercise 29: Chapter review with hints and solutions to strengthen your understanding. Mathematics : Analysis and Approaches Standard Level Course Companion solutions are prepared by Experienced Embibe Experts.

Questions from Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Equivalent Representations: Rational Functions, Exercise 29: Chapter review with Hints & Solutions

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Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 4 - Equivalent Representations: Rational Functions>Chapter review>Q 4

Use your $GDC$ to plot the graphs of $f (x) = \frac{2 x + 1}{2 x - 1}$ and $g (x) = x + 2$ on the same set of axes. By considering the point of intersection, solve the equation $\frac{2 x + 1}{2 x - 1} = x + 2$ .