Answer:
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 = [tex]\frac{a}{b}[/tex] --------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = [tex]\frac{6}{b}[/tex]
b = [tex]\frac{6}{4}[/tex] = 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
