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Have you observed a pattern? if yes, state so.

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  • Réponse publiée par: sherelyn0013
    Subject Math

    Have you observed a pattern? If yes, state so.

    a. f(x) = 2x  (increases)

    b. f(x) = 2x + 1 (increases)

    c. f(x) = -3x (decreases)

    d. f(x) = -3x – 4 (decreases)

    e. f(x) = 2 – 3x (decreases)

    answer

    Yes, I have observed a pattern. From the given values of x, substituting the numbers to each function will prove and support the answer to be stated. There are different functions to substitute the 3 values for each functions and pattern can be observed from that point. Determining the values as (a) f(-3), (b) f(1), and (c) f(4) in each of the  following functions, the values of f(x) as x increases would be:

    a. f(x) = 2xLet x= -3, f(-3) = 2(-3) , therefore ,the value of f(x) at x =-3 is -6.Let x=1, f(1) = 2(1) , therefore ,the value of f(x) at x = 1 is 2Let x=4, f(4) = 2(4) , therefore ,the value of f(x) at x = 4 is 8.

    Pattern Observed

    The value of f(x) in the function f(x) = 2x increases as x increases in a positive function.

    b. f(x) = 2x + 1Let x= -3, f(-3) = 2(-3) + 1 , therefore ,the value of f(x) at x = -3 is -5.Let x=1, f(1) = 2(1) + 1 , therefore ,the value of f(x) at x = 1 is 3.Let x=4, f(4) = 2(4) + 1, therefore ,the value of f(x) at x = 4 is 9.

    Pattern Observed

    The value of f(x) in the function f(x) = 2x + 1 increases as x increases in a positive function.

    c. f(x) = -3xLet x= -3, f(-3) = -3(-3) , therefore ,the value of f(x) at x = -3 is 9.Let x=1, f(1) = -3(1), therefore ,the value of f(x) at x = 1 is -3.Let x=4, f(4) = -3(4), therefore ,the value of f(x) at x = 4 is -12.

    Pattern Observed

    The value of f(x) in the function f(x) = -3x decreases as x increases in a negative function.

    d. f(x) = -3x – 4Let x= -3, f(-3) = -3(-3) -4 , therefore ,the value of f(x) at x = -3 is 5.Let x=1, f(1) = -3(1) - 4, therefore ,the value of f(x) at x = 1 is -7.Let x=4, f(4) = -3(4) -4 , therefore ,the value of f(x) at x = 4 is -16.

    Pattern Observed

    The value of f(x) in the function f(x) = -3x - 4 decreases as x increases in a negative function.

    e. f(x) = 2 – 3xLet x= -3, f(-3) =2-3(-3), therefore ,the value of f(x) at x = -3 is 11.Let x=1, f(1) = 2-3(1), therefore ,the value of f(x) at x = 1 is -1.Let x=4, f(4) = 2-3(4) , therefore ,the value of f(x) at x = 4 is -9.

    Pattern Observed

    The value of f(x) in the function f(x) = 2 -3x decreases as x increases in a negative function.

    Code 8.3.2.3.3

  • Réponse publiée par: danigirl12

    1) a. -6, 2, 8

    b. -5, 3, 9

    c. 9, -3, -12

    d. 5, -7, -16

    e. 11, -1, -10

    Step-by-step explanation:

    Given Function- f(-3), f(1), f(4)

    a. f(x)= 2x

    f(-3)= 2(-3) = -6

    f(1) = 2(1) = 2

    f(4)= 2(4) = 8

    b. f(x)= 2x+1

    f(-3)= 2(-3)+1 = -6+1 = -5

    f(1)= 2(1)+1 = 2+1 = 3

    f(4)= 2(4)+1 = 8+1 = 9

    c. f(x)= -3x

    f(-3)= -3(-3) = 9

    f(1)= -3(1) = -3

    f(4)= -3(4) = -12

    d. f(x)= -3x-4

    f(-3)= -3(-3)-4 = 9-4 = 5

    f(1)= -3(1)-4 = -3-4 = -7

    f(4)= -3(4)-4 = -12-4 = -16

    e. f(x)= 2-3x

    f(-3)= 2-3(-3) = 2+9 = 11

    f(1)= 2-3(1) = 2-3 = -1

    f(4)= 2-3(4) = 2-12 = -10

    Hope it helps you identify the functions. <3

  • Réponse publiée par: meteor13

    1.The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

    2.

    3. When the value of x increases, the value of y decreases and the graph slants downward.

    4. Change of values of the function is dependent on the dependent variables given as (a) f(-3), (b) f(1), and (c) f(4). Let x= -3, f(-3) = 2(-3) + 1 , therefore ,the value of f(x) at x = -3 is -5. Let x=1, f(1) = 2(1) + 1 , therefore ,the value of f(x) at x = 1 is 3.

    5. yes

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Have you observed a pattern? if yes, state so....