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    Activity 4 - Rational Functions

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    Shifra Jane Piquero
    Lesson 4 covers rational functions. Some key points: 1. Examples are given for rational numbers/expressions, rational equations, rational inequalities, and rational and irrational functions. 2. Finding intercepts, zeroes, and asymptotes of rational functions is demonstrated. For the function L(x)=2x/(3+x), the x-intercept is (0,0), the y-intercept is (0,3), and there is a vertical asymptote at x=-3. 3. For the function M(x)=6x+4/(x^2-4), the x-intercept is (-2/3,0), the y-intercept is (0,-1

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    Activity 4 - Rational Functions

    Uploaded by

    Shifra Jane Piquero
    44 views2 pages
    Lesson 4 covers rational functions. Some key points: 1. Examples are given for rational numbers/expressions, rational equations, rational inequalities, and rational and irrational functions. 2. Finding intercepts, zeroes, and asymptotes of rational functions is demonstrated. For the function L(x)=2x/(3+x), the x-intercept is (0,0), the y-intercept is (0,3), and there is a vertical asymptote at x=-3. 3. For the function M(x)=6x+4/(x^2-4), the x-intercept is (-2/3,0), the y-intercept is (0,-1

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    Activity 4- Rational Functions

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    Lesson 4 covers rational functions. Some key points: 1. Examples are given for rational numbers/expressions, rational equations, rational inequalities, and rational and irrational functions. 2. Finding intercepts, zeroes, and asymptotes of rational functions is demonstrated. For the function L(x)=2x/(3+x), the x-intercept is (0,0), the y-intercept is (0,3), and there is a vertical asymptote at x=-3. 3. For the function M(x)=6x+4/(x^2-4), the x-intercept is (-2/3,0), the y-intercept is (0,-1

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    44 views2 pages

    Activity 4 - Rational Functions

    Uploaded by

    Shifra Jane Piquero
    Lesson 4 covers rational functions. Some key points: 1. Examples are given for rational numbers/expressions, rational equations, rational inequalities, and rational and irrational functions. 2. Finding intercepts, zeroes, and asymptotes of rational functions is demonstrated. For the function L(x)=2x/(3+x), the x-intercept is (0,0), the y-intercept is (0,3), and there is a vertical asymptote at x=-3. 3. For the function M(x)=6x+4/(x^2-4), the x-intercept is (-2/3,0), the y-intercept is (0,-1

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    Lesson 4: Rational Functions

    ACTVITY 4

    I. Give 2 examples for each of the following:


    1. Rational Numbers/Expressions
    x2 + 5 5
    x+2 7
    2. Rational Equations
    x 1 2 1 x 1
      
    x2 5 x2 x  1 2x  2
    3. Rational Inequalities
    2 x  10 7  2x
    1 5
    x3 x3
    4. Rational Functions

    x2 + 5 1
    f(x)=
    g ( x) 
    x
    x+2

    5. Irrational Functions

    f ( x)  2 x  1  3 L( x)  3  x  2
    II. Find IZA R. FUNCTION:

    Given Rational
    INTERCEPTS ZEROES ASYMPTOTE
    Functions
    a.) x-intercept:
    2x=0
    a. )VA: x= -3
    2x/2=0/2
    X= 0
    (0,0) RV: 3+x=0
    2x b.) y-intercept: x= -3
    1.) L(x)=
    3+ x 2(0) x-intercept: x= 0
    b.)HA:
    L(0)= 3  0 Zeroes: x=0
    n= 1, m=1
    0
    n=m, Case 2
    = 3
    y= 2/1 or 2
    L(0) =0
    (0,0)
    a.) x-intercept: RV: x2 -4 =0
    6x + 4= 0 x2 = 4
    6x/6=-4/6 x= 2 a.)VA: x=2
    x=-4/6 or
    x-intercept:
    x= -2/3
    x= -2/3
    (-2/3,0)
    6 x+ 4 Zeroes: x= -2/3
    2.) M(x)= b.) y-intercept:
    x 2−4 6(0)  4
    b.)HA:
    M(0)= (0)  4
    2

    n= 1, m=2
    4
    n‹m, Case 1
    = 4
    y= 0
    M(0)= -1
    (0,-1)

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