4. This is a function
5. The equation is
6. The value for f(-4) is
THREE NUMBERS BEHIND THE DECIMAL PT

Step-by-step explanation:

4). This is an exponential function.

5). Let the equation of this function is,

    f(x) = a(b)ˣ

    Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,

    For (-1, 4),

    4 = a(b)⁻¹

    4 = --------(1)

    For (0, 6),

    6 = a(b)⁰

    a = 6

    From equation (1),

    4 =

    b = = 1.5

    Therefore, equation of the function will be,

    f(x) = 6(1.5)ˣ

6). Now the value of f(-4) will be,

    f(-4) = 6(1.5)⁻⁴

           = 1.185

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step-by-step explanation: