Question

Complete the table to investigate dialations of exponential functions.

Answer 1

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  $2^{3 \cdot x}$

Let f(x) = 2ˣ, h(x) = 3·2ˣ, and g(x) = $2^{3 \cdot x}$

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) = $2^{3 \times 0}$ = 2⁰ = 1

d = f(1) = 2¹ = 2

e = h(1) = 3·2¹ = 3 × 2 = 6

f = g(1) = $2^{3 \times 1}$ = 2³ = 8.