Question

Complete the table to investigate dialations of exponential functions.

Answer 1

a = 1, b = 3, c = 1, d = 2, e = 6, and f = 8

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 * 0)` = 2⁰ = 1

d = f(1) = 2¹ = 2

e = h(1) = 3·2¹ = 3 × 2 = 6

f = g(1) =
`2^(3 * 1)` = 2³ = 8.