Answer:
a = 1, b = 3, c = 1, d = 2, e = 6, and f = 8
Step-by-step explanation:
The given exponential functions are;
2ˣ, 3·2ˣ, and [tex]2^{3 \cdot x}[/tex]
Let f(x) = 2ˣ, h(x) = 3·2ˣ, and g(x) = [tex]2^{3 \cdot x}[/tex]
From the table for investigating the dilations of exponential function, we have;
a = f(0) = 2⁰ = 1
b = h(0) = 3·2⁰ = 3 × 1 = 3
c = g(0) = [tex]2^{3 \times 0}[/tex] = 2⁰ = 1
d = f(1) = 2¹ = 2
e = h(1) = 3·2¹ = 3 × 2 = 6
f = g(1) = [tex]2^{3 \times 1}[/tex] = 2³ = 8.
